Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the value of x if ( begin{vmatrix}3&x 2&x^2 end{vmatrix} )= ( begin{vmatrix}5&3 3&2 end{vmatrix} ).

A. x=1, ( frac{1}{3} )
B. x=-1, ( frac{1}{3} )
C. x=1, ( frac{1}{3} )
D. x=-1, ( frac{1}{3} )
Answer» B. x=-1, ( frac{1}{3} )
Discussion
2.

Evaluate ( begin{vmatrix} sqrt{3}& sqrt{2} -1&2 sqrt{3} end{vmatrix} ).

A. 6-3 ( sqrt{2} )
B. 6- ( sqrt{2} )
C. 6+3 ( sqrt{2} )
D. 6+ ( sqrt{2} )
Answer» E.
Discussion
3.

If A= ( begin{bmatrix}2&5&9 6&1&3 4&8&2 end{bmatrix} ), find |A|.

A. 352
B. 356
C. 325
D. 532
Answer» B. 356
Discussion
4.

Evaluate ( begin{vmatrix}8x+1&2x-2 x^2-1&3x+5 end{vmatrix} ).

A. -2x<sup>3</sup>-26x<sup>2</sup>+45x+3
B. -2x<sup>3</sup>+26x<sup>2</sup>+45x+3
C. -2x<sup>3</sup>+26x<sup>2</sup>+45x-3
D. -2x<sup>3</sup>-26x<sup>2</sup>-45x+3
Answer» C. -2x<sup>3</sup>+26x<sup>2</sup>+45x-3
Discussion
5.

Evaluate ( begin{vmatrix}5&amp;4&amp;3 3&amp;4&amp;1 5&amp;6&amp;1 end{vmatrix} ).

A. 4
B. -24
C. -8
D. 8
Answer» D. 8
Discussion
6.

Evaluate ( begin{vmatrix}1&amp;1&amp;-2 3&amp;4&amp;5 -1&amp;2&amp;1 end{vmatrix} ).

A. -6
B. -34
C. 34
D. 22
Answer» C. 34
Discussion
7.

Evaluate ( begin{vmatrix}i&amp;-1 -1&amp;-i end{vmatrix} ).

A. 4
B. 3
C. 2
D. 0
Answer» E.
Discussion
8.

Evaluate ( begin{vmatrix}-sin &amp;-1 1&amp;sin end{vmatrix} ).

A. cos<sup>2</sup> u2061
B. -cos<sup>2</sup> u2061
C. cos u20612
D. cos u2061
Answer» B. -cos<sup>2</sup> u2061
Discussion
9.

Evaluate ( begin{vmatrix}5&amp;-4 1&amp; sqrt{3} end{vmatrix} ).

A. 4 ( sqrt{3} )+4
B. 4 ( sqrt{3} )+5
C. 5 ( sqrt{3} )+4
D. 5 ( sqrt{3} )-4
Answer» D. 5 ( sqrt{3} )-4
Discussion
10.

Evaluate ( begin{vmatrix}2&amp;5 -1&amp;-1 end{vmatrix} ).

A. 3
B. -7
C. 5
D. -2
Answer» B. -7
Discussion