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→