Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers 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. -2x3-26x2+45x+3
B. -2x3+26x2+45x+3
C. -2x3+26x2+45x-3
D. -2x3-26x2-45x+3
Answer» C. -2x3+26x2+45x-3
Discussion
5.

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

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

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

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

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

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

Evaluate \(\begin{vmatrix}-sinθ&-1\\1&sin⁡θ\end{vmatrix}\).

A. cos2⁡θ
B. -cos2⁡θ
C. cos⁡2θ
D. cos⁡θ
Answer» B. -cos2⁡θ
Discussion
9.

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

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 \(\begin{vmatrix}2&5\\-1&-1\end{vmatrix}\).

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