Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 9 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.

Evaluate \(\begin{vmatrix}4&8&12\\6&12&18\\7&14&21\end{vmatrix}\).

A. 168
B. -1
C. -168
D. 0
Answer» E.
Discussion
2.

Evaluate \(\begin{vmatrix}1+m&n&q\\m&1+n&q\\n&m&1+q\end{vmatrix}\).

A. -1(1+m+n+q)
B. 1+m+n+q
C. 1+2q
D. 1+q
Answer» B. 1+m+n+q
Discussion
3.

Find the determinant of A=\(\begin{bmatrix}c^2&cb&ca\\ab&a^2&-ac\\ab&bc&-b^2\end{bmatrix}\)

A. abc(a3+b3+c3+abc)
B. abc(a3+b3+c3-abc)
C. abc(a3+b3+c3+abc)
D. (a3-b3+c3-abc)
Answer» C. abc(a3+b3+c3+abc)
Discussion
4.

Evaluate \(\begin{vmatrix}-a&b&c\\-2a+4x&2b-4y&2c+4z\\x&-y&z\end{vmatrix}\).

A. 0
B. abc
C. 2abc
D. -1
Answer» B. abc
Discussion
5.

If A=\(\begin{bmatrix}1&3\\2&1\end{bmatrix}\), then ________

A. |2A|=4|A|
B. |2A|=2|A|
C. |A|=2|A|
D. |A|=|4A|
Answer» B. |2A|=2|A|
Discussion
6.

Evaluate \(\begin{vmatrix}b-c&b&c\\a&c-a&c\\a&b&a-b\end{vmatrix}\).

A. 2abc
B. 2a{(b-c)(c-a+b)}
C. 2b{(a-c)(a+b+c)}
D. 2c{(b-c)(a-c+b)}
Answer» C. 2b{(a-c)(a+b+c)}
Discussion
7.

Evaluate \(\begin{vmatrix}cos⁡θ&-cos⁡θ&1\\sin^2⁡θ&cos^2⁡θ&1\\sin⁡θ&-sin⁡θ&1\end{vmatrix}\).

A. sin⁡θ+cos2⁡θ
B. -sin⁡θ-cos2⁡⁡θ
C. -sin⁡θ+cos2⁡⁡θ
D. sin⁡θ-cos2⁡⁡θ
Answer» E.
Discussion
8.

Evaluate \(\begin{vmatrix}x^2&x^3&x^4\\x&y&z\\x^2&x^3&x^4 \end{vmatrix}\).

A. 0
B. 1
C. xyz
D. x2 yz3
Answer» B. 1
Discussion
9.

Find the determinant of the matrix A=\(\begin{bmatrix}1&x&y\\1&x&-y\\1&-x^2&y^2\end{bmatrix}\).

A. (x+1)
B. -2xy(x+1)
C. xy(x+1)
D. 2xy(x+1)
Answer» C. xy(x+1)
Discussion