MCQ 11 Mark
यदि $w$, समीकरण $x^3-1=0$ का एक अवास्तविक मूल हो, तो : $\left|\begin{array}{ccc}1 & w^2 & 1+w^2 \\1+w^2 & 1 & w^2 \\w^2 & 1+w^2 & 1\end{array}\right|=$
View full question & answer→MCQ 21 Mark
यदि $\left|\begin{array}{ccc}6 i & -3 i & 1 \\ 4 & 3 i & -1 \\ 30 & 3 & i\end{array}\right|=x+i y$, तो-
- A
$x=3, y=1$
- B
$x=1, y=3$
- ✓
$x=0, y=3$
- D
$x=0, y=0$
AnswerCorrect option: C. $x=0, y=3$
View full question & answer→MCQ 31 Mark
यदि $(a+b+c)$ धनात्मक हों और $a, b, c$ सभी बराबर न हो, तो दी गयी सारणिक $\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|$ का मान होगा :
View full question & answer→MCQ 41 Mark
$\left|\begin{array}{cc}2 & 4 \\ -5 & -1\end{array}\right|=$
View full question & answer→MCQ 51 Mark
यदि $\left|\begin{array}{ccc}2+x & 2 & x \\ 2-x & 2 & x \\ 2-x & 2 & -x\end{array}\right| 0$ तो $x=$
View full question & answer→MCQ 61 Mark
$\left|\begin{array}{lll}x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x\end{array}\right|=0$ के दो मूल हो, तो तीसरा मूल होगा :
View full question & answer→MCQ 71 Mark
यदि $\lambda \in R$ और $\Delta=\left|\begin{array}{ll}a & b \\ c & d\end{array}\right|$ तो $\lambda \Delta$ समान होगा :
- A
$\left|\begin{array}{ll}\lambda a & \lambda b \\ \lambda c & \lambda d\end{array}\right|$
- B
$\left|\begin{array}{rr}\lambda a & b \\ c & d\end{array}\right|$
- ✓
$\left|\begin{array}{ll}\lambda a & b \\ \lambda c & d\end{array}\right|$
- D
AnswerCorrect option: C. $\left|\begin{array}{ll}\lambda a & b \\ \lambda c & d\end{array}\right|$
View full question & answer→MCQ 81 Mark
किसी सारणिक जिसकी कोई दो पंक्तियाँ (या स्तम्भ) समान है, का मान होता है :
MCQ 91 Mark
यदि $\left|\begin{array}{ccc}b+c & a & a \\ b & c+a & b \\ c & c & a+b\end{array}\right|=k a b c$ तब $x$ का मान है :
View full question & answer→MCQ 101 Mark
यदि $\left|\begin{array}{ll}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{rr}2 x & 4 \\ 6 & x\end{array}\right|$ तब $x$ का मान है :
- A
$\pm 2$
- B
$\pm(0.5)$
- ✓
$\pm \sqrt{3}$
- D
$\pm \frac{1}{3}$
AnswerCorrect option: C. $\pm \sqrt{3}$
View full question & answer→MCQ 111 Mark
यदि $A=\left[\begin{array}{ll}\alpha & q \\ q & \alpha\end{array}\right]$ तथा $\left[A^3\right]=125$ तब $\alpha=$
- ✓
$\pm 3$
- B
$\pm 2$
- C
$\pm 5$
- D
$0$
AnswerCorrect option: A. $\pm 3$
View full question & answer→MCQ 121 Mark
$\left|\begin{array}{ccc}y+z & z & x \\ y & z+x & y \\ z & z & x+y\end{array}\right|$ का मान है :
- A
$6 x y z$
- B
$x y z$
- ✓
$4 x y z$
- D
$x y+y z+z x$
AnswerCorrect option: C. $4 x y z$
View full question & answer→MCQ 131 Mark
$\left|\begin{array}{lll}1 & a & a^2-b c \\ 1 & b & b^2-c a \\ 1 & c & c^2-a b\end{array}\right|$ का मान है :
- A
$a b c$
- B
$a b+b c+c a$
- ✓
$0$
- D
$(a-b)(b-c)(c-a)$
View full question & answer→MCQ 141 Mark
$\left|\begin{array}{lll}x+1 & x+2 & x+3 \\ x+2 & x+3 & x+4 \\ x+3 & x+4 & x+5\end{array}\right|$ का मान है :
- A
$(x-3)^2$
- B
$-(3 x-6)^2$
- ✓
$0$
- D
View full question & answer→MCQ 151 Mark
$\left|\begin{array}{ccc}x & 1 & 1 \\ 0 & 1+x & 1 \\ -y & 1+x & 1+x\end{array}\right|$ का मान है :
- A
$x y$
- B
$x y(x+1)$
- C
$x(x+1)(y+1)$
- ✓
$x y(x+2)$
AnswerCorrect option: D. $x y(x+2)$
View full question & answer→MCQ 161 Mark
$\left|\begin{array}{lll}1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2\end{array}\right|=$ ?
- A
$0$
- ✓
$(x-y)(y-z)(z-x)$
- C
$(y-x)(y-z)(z-x)$
- D
AnswerCorrect option: B. $(x-y)(y-z)(z-x)$
View full question & answer→MCQ 171 Mark
$\left|\begin{array}{lll}x & 1 & y+x \\ y & 1 & z+x \\ z & 1 & z+y\end{array}\right|=$ ?
View full question & answer→MCQ 181 Mark
यदि $\left|\begin{array}{ccc}x+1 & 2 & 3 \\ 1 & x+2 & 3 \\ 1 & 2 & x+3\end{array}\right|=0$ तब $x=0$ और :
View full question & answer→MCQ 191 Mark
$\left|\begin{array}{ccc}x+3 & 5 & 7 \\ 3 & x+5 & 7 \\ 3 & 5 & x+7\end{array}\right|=0$ तब $x=$
- ✓
$x=0,-15$
- B
$x=0,15$
- C
$x=0,7$
- D
$x=0,9$
AnswerCorrect option: A. $x=0,-15$
View full question & answer→MCQ 201 Mark
$\left|\begin{array}{lll}a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c\end{array}\right|=$ ?
- ✓
$0$
- B
$(c-b)(b-c)(c-a)$
- C
$a^2+b^2+c^2$
- D
View full question & answer→MCQ 211 Mark
यदि $\left|\begin{array}{rr}x & 2 \\ 18 & x\end{array}\right|=\left|\begin{array}{rr}6 & 2 \\ 18 & 6\end{array}\right|$ तब $x$ का मान है :
View full question & answer→MCQ 221 Mark
यदि $a, b, c$ समान्तर श्रेढी A.P. में हो, तब : $\left|\begin{array}{lll}x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c\end{array}\right|$ का मान है :
View full question & answer→MCQ 231 Mark
$\left|\begin{array}{lll}1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2\end{array}\right|$
- A
$(x-y)(y+z)(z+x)$
- B
$(x+y)(y-z)(z-x)$
- C
$(x-y)(y-z)(z+x)$
- ✓
$(x-y)(y-z)(z-x)$
AnswerCorrect option: D. $(x-y)(y-z)(z-x)$
View full question & answer→MCQ 241 Mark
यदि a, b, c समान्तर श्रेणी $\left|\begin{array}{lll}x+2 & x+3 & x+2 a \\ x+3 & x+4 & x+2 b \\ x+4 & x+5 & x+2 c\end{array}\right|$ है :
View full question & answer→MCQ 251 Mark
सारणिक $\left|\begin{array}{lll}3 & 1 & 7 \\ 5 & 0 & 2 \\ 2 & 5 & 3\end{array}\right|$ के मान =
View full question & answer→MCQ 261 Mark
यदि $\omega$ समीकरण $x^3-1=0$ का एक अवास्तविक मूल हो, तो $\left|\begin{array}{ccc}1 & \omega & \omega^2 \\ \omega & \omega^2 & 1 \\ \omega^2 & 1 & \omega\end{array}\right|=$
- ✓
$0$
- B
- C
$\omega$
- D
$\omega^2$
View full question & answer→MCQ 271 Mark
यदि $\Delta=\left|\begin{array}{lll}1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b\end{array}\right|$ तो $\Delta=$
View full question & answer→MCQ 281 Mark
$\left|\begin{array}{lll}2 & 3 & 5 \\ 0 & 4 & 7 \\ 0 & 0 & 5\end{array}\right|=$
View full question & answer→MCQ 291 Mark
$\left|\begin{array}{lll}1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2\end{array}\right|=$ सारणिक
- A
$(a+b)(b+c)(c+a)$
- B
$(a+b)(b-c)(c-a)$
- C
$(a-b)(b-c)(c+a)$
- ✓
$(a-b)(b-c)(c-a)$
AnswerCorrect option: D. $(a-b)(b-c)(c-a)$
View full question & answer→MCQ 301 Mark
$\left|\begin{array}{lll}1 & 2 & 3 \\ 2 & 4 & 6 \\ 1 & 1 & 2\end{array}\right|=\ldots$
View full question & answer→MCQ 311 Mark
$\left|\begin{array}{lll}1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b\end{array}\right|=$
View full question & answer→MCQ 321 Mark
$\left|\begin{array}{lll}1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6\end{array}\right|=\ldots \ldots$
View full question & answer→MCQ 331 Mark
$\left|\begin{array}{ll}10 & 2 \\ 35 & 7\end{array}\right|=\ldots \ldots$.
View full question & answer→MCQ 341 Mark
यदि $\left|\begin{array}{ll}x & 5 \\ 5 & x\end{array}\right|=0$ तो $x=$
AnswerCorrect option: A. $\pm 5$
View full question & answer→MCQ 351 Mark
$\left|\begin{array}{lll}1 & 1 & 2 \\ 2 & 2 & 4 \\ 3 & 5 & 6\end{array}\right|=\ldots \ldots ?$
View full question & answer→MCQ 361 Mark
यदि $\left|\begin{array}{cc}2 x & 5 \\ 8 & x\end{array}\right|=\left|\begin{array}{cc}6 & -2 \\ 7 & 3\end{array}\right|$, तब तब का मान है
AnswerCorrect option: C. $\pm 6$
View full question & answer→MCQ 371 Mark
सारणिक $\left|\begin{array}{lll}a-b & b+c & a \\ b-c & c+a & b \\ c-a & a+b & c\end{array}\right|$ का मान है
- A
$a^3+b^3+c^3$
- B
- C
$a^3+b^3+c^3-3 a b c$
- ✓
View full question & answer→MCQ 381 Mark
सारणिक $\left|\begin{array}{ccc}x & x+y & x+2 y \\ x+2 y & x & x+y \\ x+y & x+2 y & x\end{array}\right|$ का मान है
- A
$9 x^2(x+y)$
- ✓
$9 y^2(x+y)$
- C
$3 y^2(x+y)$
- D
$7 x^2(x+y)$
AnswerCorrect option: B. $9 y^2(x+y)$
View full question & answer→MCQ 391 Mark
यदि $\theta$ एक वास्तविक संख्या है तब $\Delta=\left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & 1+\sin \theta & 1 \\ 1+\cos \theta & 1 & 1\end{array}\right|$ का अधिकतम मान है।
- ✓
$\frac{1}{2}$
- B
$\frac{\sqrt{3}}{2}$
- C
$\sqrt{2}$
- D
$\frac{2 \sqrt{3}}{4}$
AnswerCorrect option: A. $\frac{1}{2}$
View full question & answer→MCQ 401 Mark
यदि $f(x)=\left|\begin{array}{ccc}0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0\end{array}\right|$, तब
- A
$f(a)=0$
- B
$f(b)=0$
- ✓
$f(0)=0$
- D
$f(1)=0$.
AnswerCorrect option: C. $f(0)=0$
View full question & answer→MCQ 411 Mark
यदि $f(t)=\left|\begin{array}{rll}\cos t & t & 1 \\ 2 \sin t & t & 2 t \\ \sin t & t & t\end{array}\right|$, तब $\lim _{t \rightarrow 0} \frac{f(t)}{t^2}$ बराबर है
View full question & answer→MCQ 421 Mark
यदि A और B व्युत्क्रमणीय आव्यूह हैं तब निम्न में से कौन-सा सत्य नहीं है?
- A
$\operatorname{adj} A=|A| \cdot A^{-1}$
- B
$\operatorname{det}(A)^{-1}=[\operatorname{det}(A)]^{-1}$
- C
$(A B)^{-1}=B^{-1} A^{-1}$
- ✓
$(A+B)^{-1}=B^{-1}+A^{-1}$
AnswerCorrect option: D. $(A+B)^{-1}=B^{-1}+A^{-1}$
View full question & answer→MCQ 431 Mark
यदि $A=\left[\begin{array}{ccc}2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3\end{array}\right]$, तब $A^{-1}$ का अस्तित्व है यदि
- A
$\lambda=2$
- B
$\lambda \neq 2$
- C
$\lambda \neq-2$
- ✓
View full question & answer→MCQ 441 Mark
यदि A, B और C एक त्रिभुज के कोण हैं, तो सारिणक $\left|\begin{array}{ccc}-1 & \cos C & \cos B \\ \cos C & -1 & \cos A \\ \cos B & \cos A & -1\end{array}\right|$ बराबर है
View full question & answer→MCQ 451 Mark
एक त्रिभुज का क्षेत्रफल 9 वर्ग इकाई है जिसके शीर्ष $(-3,0),(3,0)$ और $(0, k)$ हैं, तो का मान होगा
AnswerCorrect option: B. $\pm 3$
View full question & answer→MCQ 461 Mark
अंतराल $-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}$ में सारणिक $\left|\begin{array}{rrr}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0$ के विभिन्न वास्तविक मूलों की संख्या है
View full question & answer→MCQ 471 Mark
a' के ऐसे दो मान हैं जिनके लिए $\Delta=\left|\begin{array}{ccc}1 & -2 & 5 \\ 2 & a & -1 \\ 0 & 4 & 2 a\end{array}\right|=86$ है तो इन दो संख्याओं का योग है
View full question & answer→MCQ 481 Mark
यदि $\left|\begin{array}{cc}x & 2 \\ 18 & x\end{array}\right|=\left|\begin{array}{cc}6 & 2 \\ 18 & 6\end{array}\right|$ हो तो x बराबर है:
AnswerCorrect option: B. $\pm 6$
View full question & answer→MCQ 491 Mark
यदि शीर्ष $(2,-6),(5,4)$ और $(k, 4)$ वाले त्रिभुज का क्षेत्रफल 35 वर्ग इकाई हो, तो का मान है :
AnswerCorrect option: D. $12,-2$
View full question & answer→MCQ 501 Mark
यदि $\Delta=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right|$ और $a_{i j}$ का सहखंड $A_{i j}$ हो तो $\Delta$ का मान है :
- A
$a_{11} A_{31}+a_{12} A_{32}+a_{13} A_{33}$
- B
$a_{11} A_{11}+a_{12} A_{21}+a_{13} A_{31}$
- C
$a_{21} A_{11}+a_{22} A_{12}+a_{23} A_{13}$
- ✓
$a_{11} A_{11}+a_{21} A_{21}+a_{31} A_{31}$
AnswerCorrect option: D. $a_{11} A_{11}+a_{21} A_{21}+a_{31} A_{31}$
View full question & answer→MCQ 511 Mark
यदि A कोटि दो का व्युत्क्रमणीय आव्यूह है, तो $\operatorname{det}\left(A^{-1}\right)$ बराबर है :
AnswerCorrect option: B. $\frac{1}{\operatorname{det}(A)}$
View full question & answer→MCQ 521 Mark
यदि $A=\left[\begin{array}{ccc}1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1\end{array}\right]$, जहाँ $0 \leq \theta \leq 2 \pi$ हो तो,
- A
$\operatorname{det}(A)=0$
- B
$\operatorname{det}(A) \in(2, \infty)$
- C
$\operatorname{det}(A) \in(2,4)$
- ✓
$\operatorname{det}(A) \in[2,4]$
AnswerCorrect option: D. $\operatorname{det}(A) \in[2,4]$
View full question & answer→MCQ 531 Mark
यदि $A, 3 \times 3$ कोटि का एक व्युत्क्रमणीय वर्ग आव्यूह है तो $|\operatorname{adj} A|$ का मान है:
- A
$|A|$
- ✓
$|A|^2$
- C
$|A|^3$
- D
$3|A|$
AnswerCorrect option: B. $|A|^2$
View full question & answer→MCQ 541 Mark
निम्नलिखित में से कौन सा कथन सही है?
- A
- B
सारणिक एक आव्यूह से संबद्ध एक संख्या है
- ✓
सारणिक एक वर्ग आव्यूह से संबद्ध एक संख्या है
- D
AnswerCorrect option: C. सारणिक एक वर्ग आव्यूह से संबद्ध एक संख्या है
View full question & answer→MCQ 551 Mark
सारणिक $\left|\begin{array}{lll}b^2-a b & b-c & b c-a c \\ a b-a^2 & a-b & b^2-a b \\ b c-a c & c-a & a b-a^2\end{array}\right|$ बराबर है
- A
$a b c(b-c)(c-a)(a-b)$
- B
$(b-c)(c-a)(a-b)$
- C
$(a+b+c)(b-c)(c-a)(a-b)$
- ✓
View full question & answer→MCQ 561 Mark
यदि x,y, z में कोई भी शून्य नहीं है और $\left|\begin{array}{ccc}1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z\end{array}\right|=0$ है तब $x^{-1}+y^{-1}+$$z^{-1}$ बराबर है
- A
- B
$x^{-1} y^{-1} z^{-1}$
- C
$-x-y-z$
- ✓
View full question & answer→MCQ 571 Mark
$\left|\begin{array}{ll}x & 15 \\ 4 & 4\end{array}\right|=0 \Rightarrow x=$
View full question & answer→MCQ 581 Mark
$\left|\begin{array}{lll}21 & 11 & 10 \\ 25 & 15 & 10 \\ 64 & 27 & 37\end{array}\right|=$
View full question & answer→MCQ 591 Mark
$\left|\begin{array}{ll}10 & 4 \\ 13 & 5\end{array}\right|=$
View full question & answer→MCQ 601 Mark
$\left|\begin{array}{ccc}3 & \sqrt{3} & \sqrt{3} \\ 4 & 0 & 0 \\ 0 & 0 & 0\end{array}\right|=$
- ✓
$0$
- B
- C
$4 \sqrt{3}$
- D
$3-4 \sqrt{3}$
View full question & answer→MCQ 611 Mark
$5\left|\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right|=$
- A
$\left|\begin{array}{cc}5 & 10 \\ 15 & 20\end{array}\right|$
- B
$\left|\begin{array}{cc}5 & 2 \\ 3 & 20\end{array}\right|$
- ✓
$\left|\begin{array}{ll}5 & 10 \\ 3 & 4\end{array}\right|$
- D
$\left|\begin{array}{ll}1 & 10 \\ 15 & 20\end{array}\right|$
AnswerCorrect option: C. $\left|\begin{array}{ll}5 & 10 \\ 3 & 4\end{array}\right|$
View full question & answer→MCQ 621 Mark
$\left|\begin{array}{lll}1 & 1 & -2 \\ 2 & 1 & -3 \\ 5 & 4 & -9\end{array}\right|=$
View full question & answer→MCQ 631 Mark
$\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|=$
View full question & answer→MCQ 641 Mark
$\left|\begin{array}{cc}x & 2 \\ 18 & x\end{array}\right|=\left|\begin{array}{cc}6 & 2 \\ 18 & 6\end{array}\right|$
AnswerCorrect option: B. $\pm 6$
View full question & answer→MCQ 651 Mark
$\left|\begin{array}{ccc}3 & -4 & 5 \\ 1 & 1 & -2 \\ 2 & 3 & 1\end{array}\right|=$
View full question & answer→MCQ 661 Mark
$\left|\begin{array}{cc}-\sin \theta & \cos \theta \\ \sec \theta & \operatorname{cosec} \theta\end{array}\right|=$
View full question & answer→MCQ 671 Mark
$\left|\begin{array}{ccc}1 & 2 & -1 \\ 5 & 4 & 1 \\ 7 & 6 & 1\end{array}\right|=$
View full question & answer→MCQ 681 Mark
$\left|\begin{array}{ccc}1 & 1 & 5 \\ 4 & 9 & 17 \\ 5 & 10 & 22\end{array}\right|=$
View full question & answer→MCQ 691 Mark
$\left|\begin{array}{ccc}4 & -6 & 10 \\ 12 & 0 & 8 \\ 2 & 10 & -14\end{array}\right|=$
View full question & answer→MCQ 701 Mark
$\left|\begin{array}{ccc}2 & 3 & 7 \\ 8 & 5 & -3 \\ 16 & 17 & 25\end{array}\right|=$
View full question & answer→MCQ 711 Mark
$\left|\begin{array}{ccc}1 & 4 & 9 \\ 2 & 5 & 12 \\ 3 & 7 & 17\end{array}\right|=$
View full question & answer→MCQ 721 Mark
$\left|\begin{array}{ccc}4 & 1 & 3 \\ 0 & 2 & -2 \\ 5 & 7 & -2\end{array}\right|=$
View full question & answer→MCQ 731 Mark
$\left|\begin{array}{ccc}4 & 1 & 3 \\ 0 & 2 & -2 \\ 5 & 7 & -2\end{array}\right|=$
View full question & answer→MCQ 741 Mark
$\left|\begin{array}{ccc}2 & 5 & 7 \\ 6 & -8 & -2 \\ 3 & 5 & 8\end{array}\right|=$
View full question & answer→MCQ 751 Mark
$\left|\begin{array}{ccc}2 & 5 & 7 \\ 6 & -8 & -2 \\ 3 & 5 & 8\end{array}\right|=$
View full question & answer→MCQ 761 Mark
$\left|\begin{array}{ccc}2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7\end{array}\right|=$
View full question & answer→MCQ 771 Mark
$\left|\begin{array}{ccc}2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7\end{array}\right|=$
View full question & answer→MCQ 781 Mark
सारणिक $\left|\begin{array}{ccc}7 & 11 & 13 \\ 17 & 19 & 23 \\ 29 & 31 & 37\end{array}\right|$ का मान है
View full question & answer→MCQ 791 Mark
सारणिक $\left|\begin{array}{ccc}1 & 2 & 4 \\ 3 & 7 & 9 \\ 4 & 8 & 16\end{array}\right|$ का मान है
View full question & answer→MCQ 801 Mark
$\left|\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right|=$
View full question & answer→MCQ 811 Mark
सारणिक $\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$ का मान है-
View full question & answer→MCQ 821 Mark
$\left|\begin{array}{lll}a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c\end{array}\right|=$
View full question & answer→MCQ 831 Mark
सारणिक $\left|\begin{array}{lll}1 & 2 & 4 \\ 1 & 3 & 6 \\ 1 & 4 & 9\end{array}\right|$ का मान है-
View full question & answer→MCQ 841 Mark
मान निकालें $\left|\begin{array}{cc}1 & -1 \\ y & x\end{array}\right|$
- ✓
$x+y$
- B
$x-y$
- C
$-y-x$
- D
$1+x$
View full question & answer→MCQ 851 Mark
x का मान बताएँ, जबकि $\left|\begin{array}{ll}x & 15 \\ 4 & 4\end{array}\right|=0$
View full question & answer→MCQ 861 Mark
$\left|\begin{array}{rr}\sin 20^{\circ} & -\cos 20^{\circ} \\ \sin 70^{\circ} & \cos 70^{\circ}\end{array}\right|=?$
View full question & answer→MCQ 871 Mark
यदि $\theta+\phi=90^{\circ}$, तब $\left|\begin{array}{ll}\cos \theta & \sin \theta \\ \sin \phi & \cos \phi\end{array}\right|=$
View full question & answer→MCQ 881 Mark
यदि $\omega$ समीकरण $x^3-1=0$ का एक अवास्तविक मूल हो तब $\left|\begin{array}{ccc}1 & \omega^2 & 1+\omega^2 \\ 1+\omega^2 & 1 & \omega^2 \\ \omega^2 & 1+\omega^2 & 1\end{array}\right|=$
View full question & answer→MCQ 891 Mark
यदि $\left|\begin{array}{ccc}6 i & -3 i & 1 \\ 4 & 3 i & -1 \\ 30 & 3 & i\end{array}\right|=x+i y$, तब
- A
$x=3, y=1$
- B
$x=1, y=3$
- C
$x=0, y=3$
- ✓
$x=0, y=0$
AnswerCorrect option: D. $x=0, y=0$
View full question & answer→MCQ 901 Mark
यदि $a+b+c$ धनात्मक हो और a, b, c प्रत्येक बराबर नहीं हो, तो सारणिक $\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|$ का मान है-
View full question & answer→MCQ 911 Mark
यदि $\omega \neq 1, \omega^3=1$ तथा $\left|\begin{array}{ccc}x+1 & \omega & \omega^2 \\ \omega & x+\omega^2 & 1 \\ \omega^2 & 1 & x+\omega\end{array}\right|=0$ तो $x=$
- A
- B
$\omega$
- C
$\omega^2$
- ✓
$0$
View full question & answer→MCQ 921 Mark
यदि $\lambda \in R$ और $\Delta=\left|\begin{array}{ll}a & b \\ c & d\end{array}\right|$ तो $\lambda \Delta$ समान होगा
- A
$\left|\begin{array}{ll}\lambda a & \lambda b \\ \lambda c & \lambda d\end{array}\right|$
- B
$\left|\begin{array}{cc}\lambda a & b \\ c & d\end{array}\right|$
- ✓
$\left|\begin{array}{ll}\lambda a & b \\ \lambda c & d\end{array}\right|$
- D
AnswerCorrect option: C. $\left|\begin{array}{ll}\lambda a & b \\ \lambda c & d\end{array}\right|$
View full question & answer→MCQ 931 Mark
यदि $\left|\begin{array}{ll}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{cc}2 x & 4 \\ 6 & x\end{array}\right|$ हो, तो बराबर है
- A
$\pm \sqrt{2}$
- B
$\pm \sqrt{5}$
- C
$\pm 7$
- ✓
$\pm \sqrt{3}$
AnswerCorrect option: D. $\pm \sqrt{3}$
View full question & answer→MCQ 941 Mark
किसी सारणिक, जिसकी कोई दो पंक्तियाँ (या स्तंभ) समान हैं, का मान होता है
MCQ 951 Mark
$\left|\begin{array}{cc}2 & 4 \\ -5 & -1\end{array}\right|=$
View full question & answer→MCQ 961 Mark
$\left|\begin{array}{ll}10 & 2 \\ 35 & 7\end{array}\right|=$................
View full question & answer→MCQ 971 Mark
यदि $\left|\begin{array}{ll}x & 5 \\ 5 & x\end{array}\right|=0$ तो $x=$................
AnswerCorrect option: A. $\pm 5$
View full question & answer→MCQ 981 Mark
$\left|\begin{array}{lll}1 & 1 & 2 \\ 2 & 2 & 4 \\ 3 & 5 & 6\end{array}\right|=$ ..................?
View full question & answer→MCQ 991 Mark
$\left|\begin{array}{lll}1 & 2 & 3 \\ 2 & 4 & 6 \\ 1 & 1 & 2\end{array}\right|=$
View full question & answer→MCQ 1001 Mark
$\left|\begin{array}{lll}2 & 3 & 5 \\ 0 & 4 & 7 \\ 0 & 0 & 5\end{array}\right|=$
View full question & answer→MCQ 1011 Mark
$\left|\begin{array}{lll}1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2\end{array}\right|=$ ...............
- A
$(a+b)(b+c)(c+a)$
- B
$(a+b)(b-c)(c-a)$
- C
$(a-b)(b-c)(c+a)$
- ✓
$(a-b)(b-c)(c-a)$
AnswerCorrect option: D. $(a-b)(b-c)(c-a)$
View full question & answer→MCQ 1021 Mark
$\left|\begin{array}{lll}3 & 4 & 5 \\ 0 & 2 & 3 \\ 0 & 0 & 7\end{array}\right|=$ ................
View full question & answer→MCQ 1031 Mark
$\left|\begin{array}{lll}1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2\end{array}\right|=$
- A
$(x-y)(y+z)(z+x)$
- B
$(x+y)(y-z)(z-x)$
- C
$(x-y)(y-z)(z+x)$
- ✓
$(x-y)(y-z)(z-x)$
AnswerCorrect option: D. $(x-y)(y-z)(z-x)$
View full question & answer→MCQ 1041 Mark
यदि a,b,c समांतर श्रेणी में हों, तो $\left|\begin{array}{lll}x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c\end{array}\right|=$
View full question & answer→MCQ 1051 Mark
सारणिक $\left|\begin{array}{lll}3 & 1 & 7 \\ 5 & 0 & 2 \\ 2 & 5 & 3\end{array}\right|=$
View full question & answer→MCQ 1061 Mark
यदि a, b, c समांतर श्रेणी में हों तो सारणिक $\left|\begin{array}{lll}x+2 & x+3 & x+2 a \\ x+3 & x+4 & x+2 b \\ x+4 & x+5 & x+2 c\end{array}\right|$ का मान होगाः
View full question & answer→MCQ 1071 Mark
यदि $\omega$ समीकरण $x^3-1=0$ का एक अवास्तविक मूल है, तब $\left|\begin{array}{ccc}1 & \omega & \omega^2 \\ \omega & \omega^2 & 1 \\ \omega^2 & 1 & \omega\end{array}\right|=$
- ✓
$0$
- B
- C
$\omega$
- D
$\omega^2$
View full question & answer→MCQ 1081 Mark
यदि $\left|\begin{array}{cc}1-x & 2 \\ 18 & 6\end{array}\right|=\left|\begin{array}{cc}6 & 2 \\ 18 & 6\end{array}\right|$ तो $x=$
View full question & answer→MCQ 1091 Mark
सारणिक $\left|\begin{array}{lll}1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b\end{array}\right|$ का मान है
- A
$(1+a+b+c)$
- B
$(a+b+c)$
- C
- ✓
$0$
View full question & answer→MCQ 1101 Mark
यदि 7 और 2 समीकरण $\left|\begin{array}{lll}x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x\end{array}\right|=0$ के दो मूल हों तो तीसरा मूल होगा
View full question & answer→MCQ 1111 Mark
सारणिक $\left|\begin{array}{ccc}x & x+a & x+2 a \\ x+1 & x+2 a & x+4 a \\ x+2 & x+3 a & x+6 a\end{array}\right|$ का मान है:
- A
$(x-a)^2$
- B
$x^3-a^3$
- ✓
$0$
- D
$a^3-x^3$
View full question & answer→MCQ 1121 Mark
यदि $\left|\begin{array}{ll}x & 8 \\ 3 & 3\end{array}\right|=0$, x का मान है
View full question & answer→MCQ 1131 Mark
यदि $\Delta=\left|\begin{array}{ll}10 & 2 \\ 30 & 6\end{array}\right|$ तब $\Delta=$
View full question & answer→MCQ 1141 Mark
उस त्रिभुज का क्षेत्रफल जिसके शीर्ष $(3,8)$,$(5,2)$ और $(-4,2)$ हैं
View full question & answer→MCQ 1151 Mark
सारणिक $\left|\begin{array}{lll}\frac{1}{a} & 1 & b c \\ \frac{1}{b} & 1 & c a \\ \frac{1}{c} & 1 & a b\end{array}\right|$ का मान =
View full question & answer→MCQ 1161 Mark
सारणिक $\left|\begin{array}{ccc}1 & \omega^2 & \omega \\ \omega & \omega^2 & 1 \\ \omega^2 & 1 & \omega\end{array}\right|$ का मान =
View full question & answer→MCQ 1171 Mark
सारणिक $\left|\begin{array}{ccc}1 & 2 & 3 \\ 3 & 5 & 7 \\ 8 & 14 & 20\end{array}\right|$ का मान =
View full question & answer→MCQ 1181 Mark
सारणिक $\left|\begin{array}{ccc}-1 & 1 & 1 \\ 1 & -1 & 1 \\ 1 & 1 & -1\end{array}\right|$ का मान =
View full question & answer→MCQ 1191 Mark
समीकरण $\left|\begin{array}{ccc}1 & 4 & 20 \\ 1 & -2 & 5 \\ 1 & 2 x & 5 x^2\end{array}\right|=0$ का हल है-
- A
$\{1,-2\}$
- B
$\{1,2\}$
- ✓
$\{-1,2\}$
- D
$(0,-1)$
AnswerCorrect option: C. $\{-1,2\}$
View full question & answer→MCQ 1201 Mark
यदि समीकरण समूह $x+p y=0, y+p z=0$,$z+p x=0$ के अनगिनत हल हों, तो p का मान है
View full question & answer→MCQ 1211 Mark
यदि क्रम तीन की एक सारणिक जिसका मान A है, के प्रत्येक अवयव को 3 से गुणा किया जाए, तो नई बनी सारणिक का मान होगा:
MCQ 1221 Mark
यदि $(\omega \neq 1)$ इकाई का एक घनमूल है; तब $\left|\begin{array}{ccc}1 & 1+i+\omega^2 & \omega^2 \\ 1-i & -1 & \omega^2-1 \\ -i & -i+\omega-1 & -1\end{array}\right|$ बराबर है :
View full question & answer→MCQ 1231 Mark
यदि $\left|\begin{array}{ll}x & 5 \\ x & x\end{array}\right|=24$, तब x का मान है-
AnswerCorrect option: A. $8,-3$
View full question & answer→MCQ 1241 Mark
यदि $\left|\begin{array}{lll}x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1\end{array}\right|=0$, तब बिन्दु $\left(x_1, y_1\right),\left(x_2, y_2\right)$, $\left(x_3, y_3\right)$
- A
एक समबाहु त्रिभुज बनाते हैं
- ✓
- C
$\left(x_2, y_2\right)$ बिन्दुओं $\left(x_1, y_1\right)$ व $\left(x_3, y_3\right)$ को मिलाने वाली रेखा को $1: 2$ के अनुपात में विभाजित करती है
- D
View full question & answer→MCQ 1251 Mark
यदि $\left|\begin{array}{lll}a & d & l \\ b & e & m \\ c & f & n\end{array}\right|=20$, तब $\left|\begin{array}{lll}a & l & d \\ b & m & e \\ c & n & f\end{array}\right|=$
View full question & answer→MCQ 1261 Mark
यदि $\left|\begin{array}{ll}a_1 & b_1 \\ c_1 & d_1\end{array}\right|=10$, तो $\left|\begin{array}{cc}2 a_1 & 2 b_1 \\ 3 c_1 & 3 d_1\end{array}\right|$ का मान है-
View full question & answer→MCQ 1271 Mark
यदि $\left|\begin{array}{ll}3 x & 7 \\ 2 & 4\end{array}\right|=10$, तब $x=$
View full question & answer→MCQ 1281 Mark
यदि $\left|\begin{array}{ccc}x & y & z \\ -x & y & z \\ x & -y & z\end{array}\right|=k x y z$, तब $k=$
View full question & answer→MCQ 1291 Mark
यदि $\left|\begin{array}{ccc}x+a & b & c \\ a & x+b & c \\ a & b & x+c\end{array}\right|=$ $0$ तो का मान है :
- A
$0,(a+b+c)$
- ✓
$0,-(a+b+c)$
- C
$0, a b c$
- D
AnswerCorrect option: B. $0,-(a+b+c)$
View full question & answer→MCQ 1301 Mark
यदि $\left|\begin{array}{ccc}8 & -5 & 1 \\ 5 & x & 1 \\ 6 & 3 & 1\end{array}\right|=2$, तो x मान है-
View full question & answer→MCQ 1311 Mark
यदि $\left|\begin{array}{ccc}2+x & 2 & x \\ 2-x & 2 & x \\ 2-x & 2 & -x\end{array}\right|=0$ तो $x=$
View full question & answer→MCQ 1321 Mark
यदि $\left|\begin{array}{ccc}1 & 1 & 0 \\ 2 & 0 & 3 \\ 5 & -6 & x\end{array}\right|=29$, तब $x=$
View full question & answer→MCQ 1331 Mark
यदि $D=\left|\begin{array}{lll}1 & a & b \\ 1 & b & c \\ 1 & c & a\end{array}\right|$, तब $\left|\begin{array}{lll}a & b & c \\ b & c & a \\ 1 & 1 & 1\end{array}\right|=$
View full question & answer→MCQ 1341 Mark
यदि $D=\left|\begin{array}{ccc}a+\alpha d & a+\beta d & a+\gamma d \\ \alpha & \beta & \gamma \\ d & d & d\end{array}\right|$, तब
- A
$D=\alpha+\beta+\gamma$
- B
$D=1$
- C
$D=-1$
- ✓
$D=0$
View full question & answer→MCQ 1351 Mark
यदि A एक $3 \times 3$ कोटि का वर्ग आव्यूह हो तो $|k A|$ का मान होगा :
- A
$k|A|$
- B
$k^2|A|$
- ✓
$k^3|A|$
- D
$3 k|A|$
AnswerCorrect option: C. $k^3|A|$
View full question & answer→MCQ 1361 Mark
यदि $A=\left[\begin{array}{ll}\alpha & 2 \\ 2 & \alpha\end{array}\right]$ और $|A|^3=125$, तो $\alpha$ का मान है
- A
$\pm 1$
- B
$\pm 2$
- ✓
$\pm 3$
- D
$\pm 5$
AnswerCorrect option: C. $\pm 3$
View full question & answer→MCQ 1371 Mark
x का मान बताएँ, जबकि $\left|\begin{array}{ll}x & 7 \\ x & x\end{array}\right|=-10$
View full question & answer→MCQ 1381 Mark
$\left|\begin{array}{rr}\sin 10^{\circ} & -\cos 10^{\circ} \\ \sin 80^{\circ} & \cos 80^{\circ}\end{array}\right|=$
View full question & answer→MCQ 1391 Mark
$\left|\begin{array}{ll}\sin A & \sin B \\ \cos A & \cos B\end{array}\right|=$
- A
$\sin (A+B)$
- ✓
$\sin (A-B)$
- C
$\sin (B-A)$
- D
AnswerCorrect option: B. $\sin (A-B)$
View full question & answer→MCQ 1401 Mark
$\left|\begin{array}{ll}\sec x & \tan x \\ \tan x & \sec x\end{array}\right|=$
View full question & answer→MCQ 1411 Mark
$\left|\begin{array}{lll}a-b & x-y & p-q \\ b-c & y-z & q-r \\ c-a & z-x & r-p\end{array}\right|=$
- A
$x+y+z$
- B
$p+q+r$
- C
$a+b+c$
- ✓
$0$
View full question & answer→MCQ 1421 Mark
$\left|\begin{array}{lll}a_1 & l a_1+m b_1 & b_1 \\ a_2 & l a_2+m b_2 & b_2 \\ a_3 & l a_3+m b_3 & b_3\end{array}\right|=$
View full question & answer→MCQ 1431 Mark
$\left|\begin{array}{lll}4 & 9 & 7 \\ 3 & 5 & 7 \\ 5 & 4 & 5\end{array}\right|=$
View full question & answer→MCQ 1441 Mark
$\left|\begin{array}{lll}49 & 1 & 6 \\ 39 & 7 & 4 \\ 26 & 2 & 3\end{array}\right|=$
View full question & answer→MCQ 1451 Mark
$\left|\begin{array}{lll}42 & 1 & 6 \\ 28 & 7 & 4 \\ 14 & 3 & 2\end{array}\right|=$
View full question & answer→MCQ 1461 Mark
$\left|\begin{array}{lll}38 & 7 & 63 \\ 16 & 3 & 29 \\ 27 & 5 & 46\end{array}\right|=$
View full question & answer→MCQ 1471 Mark
$\left|\begin{array}{lll}1 & b c & a b+a c \\ 1 & c a & b c+a b \\ 1 & a b & a c+b c\end{array}\right|=$
View full question & answer→MCQ 1481 Mark
$\left|\begin{array}{lll}13 & 16 & 19 \\ 14 & 17 & 20 \\ 15 & 18 & 21\end{array}\right|=$
View full question & answer→MCQ 1491 Mark
$\left|\begin{array}{lll}1^2 & 2^2 & 3^2 \\ 2^2 & 3^2 & 4^2 \\ 3^2 & 4^2 & 5^2\end{array}\right|=$
View full question & answer→MCQ 1501 Mark
$\left|\begin{array}{ll}\cos 15^{\circ} & \sin 15^{\circ} \\ \sin 15^{\circ} & \cos 15^{\circ}\end{array}\right|=$
- A
- B
$\frac{1}{2}$
- ✓
$\frac{\sqrt{3}}{2}$
- D
AnswerCorrect option: C. $\frac{\sqrt{3}}{2}$
View full question & answer→MCQ 1511 Mark
$\left|\begin{array}{ll}a+b & a^2+a b+b^2 \\ a-b & a^2-a b+b^2\end{array}\right|=$
- A
$2 a^3$
- ✓
$2 b^3$
- C
$-2 a^3$
- D
$a^3+b^3$
AnswerCorrect option: B. $2 b^3$
View full question & answer→MCQ 1521 Mark
$\left|\begin{array}{cc}\sqrt{3} & \sqrt{5} \\ -\sqrt{5} & 3 \sqrt{3}\end{array}\right|=$
View full question & answer→MCQ 1531 Mark
$\left|\begin{array}{cc}\sin 23^{\circ} & -\sin 7^{\circ} \\ \cos 23^{\circ} & \cos 7^{\circ}\end{array}\right|=$
- A
$\frac{\sqrt{3}}{2}$
- ✓
$\frac{1}{2}$
- C
$\sin 16^{\circ}$
- D
$\cos 16^{\circ}$
AnswerCorrect option: B. $\frac{1}{2}$
View full question & answer→MCQ 1541 Mark
$\left|\begin{array}{ccc}x & y & z \\ 2 & -1 & 1 \\ 0 & 1 & -3\end{array}\right|=$
- A
$2(x+3 y)$
- B
$2(x+y+z)$
- ✓
$2(x+3 y+z)$
- D
$2(x-3 y+z)$
AnswerCorrect option: C. $2(x+3 y+z)$
View full question & answer→MCQ 1551 Mark
$\left|\begin{array}{cc}\cos 25^{\circ} & \sin 25^{\circ} \\ \sin 65^{\circ} & \cos 65^{\circ}\end{array}\right|=$
View full question & answer→MCQ 1561 Mark
$\left|\begin{array}{ccc}a x & b y & c z \\ x^2 & y^2 & z^2 \\ 1 & 1 & 1\end{array}\right|=$
- A
$\left|\begin{array}{ccc}a x & b y & c z \\ a^2 & b^2 & c^2 \\ 1 & 1 & 1\end{array}\right|$
- B
$\left|\begin{array}{ccc}x & y & z \\ a & b & c \\ y z & z x & x y\end{array}\right|$
- ✓
$\left|\begin{array}{ccc}a & b & c \\ x & y & z \\ y z & z x & x y\end{array}\right|$
- D
AnswerCorrect option: C. $\left|\begin{array}{ccc}a & b & c \\ x & y & z \\ y z & z x & x y\end{array}\right|$
View full question & answer→MCQ 1571 Mark
$\left|\begin{array}{ccc}a+b & 2 a+b & 3 a+b \\ 2 a+b & 3 a+b & 4 a+b \\ 4 a+b & 5 a+b & 6 a+b\end{array}\right|=$
View full question & answer→MCQ 1581 Mark
$\left|\begin{array}{ccc}2 & 3 & 7 \\ 13 & 17 & 5 \\ 15 & 20 & 12\end{array}\right|=$
View full question & answer→MCQ 1591 Mark
$\left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & 1+x & 1 \\ 1 & 1 & 1+y\end{array}\right|$ का मान होगा :
View full question & answer→MCQ 1601 Mark
$\left|\begin{array}{ccc}1 & 2 & 4 \\ 1 & 3 & 3 \\ 1 & 4 & 10\end{array}\right|=$
View full question & answer→MCQ 1611 Mark
$\left|\begin{array}{ccc}1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 14 & 21\end{array}\right|=$
View full question & answer→MCQ 1621 Mark
$\left|\begin{array}{ccc}1 & 1+p & 1+p+q \\ 2 & 3+2 p & 1+3 p+2 q \\ 3 & 6+3 p & 1+6 p+3 q\end{array}\right|$
View full question & answer→MCQ 1631 Mark
$\left|\begin{array}{ccc}0 & p-q & p-r \\ q-p & 0 & q-r \\ r-p & r-q & 0\end{array}\right|=$
View full question & answer→MCQ 1641 Mark
$\left|\begin{array}{ccc}0 & -h & -g \\ h & 0 & -f \\ g & f & 0\end{array}\right|=$
View full question & answer→MCQ 1651 Mark
$\left|\begin{array}{cc}a+i b & c+i d \\ -c+i d & a-i b\end{array}\right|=$
- A
$a^2+b^2-c^2-d^2$
- B
$a^2-b^2-c^2-d^2$
- ✓
$a^2+b^2+c^2+d^2$
- D
AnswerCorrect option: C. $a^2+b^2+c^2+d^2$
View full question & answer→MCQ 1661 Mark
$\left|\begin{array}{cc}a & -a \\ -a & a\end{array}\right|=$
View full question & answer→MCQ 1671 Mark
$\left|\begin{array}{cc}9 & 3 \\ 12 & 4\end{array}\right|=$
View full question & answer→MCQ 1681 Mark
$\left|\begin{array}{cc}14 & 9 \\ -8 & -7\end{array}\right|=$
View full question & answer→MCQ 1691 Mark
$\left|\begin{array}{cc}-1 & 2 \\ 3 & -7\end{array}\right|=$
View full question & answer→