Explore topic-wise MCQs in Mathematics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics 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.

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-ab
C. abc(a3+b3+c3-abc)c) abc(a3+b3+c3+abc)
D. (a3-b3+c3-abc)
Answer» C. abc(a3+b3+c3-abc)c) abc(a3+b3+c3+abc)
Discussion
3.

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
4.

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
5.

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

A. 2abcb) 2a{(b-c)(c-a+b)}c) 2b{(a-c)(a+b+c)}d) 2c{(b-c)(a-c+
B. 2a{(b-c)(c-a+b)}c) 2b{(a-c)(a+b+c)}d) 2c{(b-
C. (c-a+b)}c) 2b{(a-c)(a+b+c)}
D. 2c{(b-c)(a-c+b)}
Answer» C. (c-a+b)}c) 2b{(a-c)(a+b+c)}
Discussion
6.

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
7.

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
8.

Which of the following is not a property of determinant?

A. The value of determinant changes if all of its rows and columns are interchanged
B. The value of determinant changes if any two rows or columns are interchanged
C. The value of determinant is zero if any two rows and columns are identical
D. The value of determinant gets multiplied by k, if each element of row or column is multiplied by k
Answer» B. The value of determinant changes if any two rows or columns are interchanged
Discussion