Question types

सारणिक question types

283 questions across 3 question groups — pick any mix to generate a गणित paper with step-by-step answer keys.

283
Questions
3
Question groups
5
Question types
Sample Questions

सारणिक questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ [1M]1 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
  • A
    3
  • B
    $\pm 3$
  • $\pm 6$
  • D
    6

Answer: C.

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Q 2MCQ [1M]1 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
    3abc
  • C
    $a^3+b^3+c^3-3 a b c$
  • इनमें से कोई नहीं

Answer: D.

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Q 3MCQ [1M]1 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
    $7 x^2(x+y)$

Answer: B.

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Q 4MCQ [1M]1 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
    $\frac{2 \sqrt{3}}{4}$

Answer: A.

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Q 5MCQ [1M]1 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
    $f(1)=0$.

Answer: C.

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