MCQOPTIONS

Explore topic-wise MCQs in Mathematics.

This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.	If, x3 = 1, then, what will be the value of ( begin{vmatrix}a & b & c b & c & a c & a & b end {vmatrix} )?
A.	-(a + bx + cx<sup>2</sup>) ( begin{vmatrix}1 & b & c x^2 & c & a x & a & b end {vmatrix} )
B.	(a + bx + cx<sup>2</sup>) ( begin{vmatrix}1 & b & c x^2 & c & a x & a & b end {vmatrix} )
C.	(a bx cx<sup>2</sup>) ( begin{vmatrix}1 & b & c x^2 & c & a x & a & b end {vmatrix} )
D.	(a + bx cx<sup>2</sup>) ( begin{vmatrix}1 & b & c x^2 & c & a x & a & b end {vmatrix} )
Answer» C. (a bx cx<sup>2</sup>) ( begin{vmatrix}1 & b & c x^2 & c & a x & a & b end {vmatrix} )

2.	What will be the value of f(x) if ( begin{vmatrix}1 & 1 & 1 x & y & z x^3 & y^3 & z^3 end {vmatrix} )?
A.	-1
B.	0
C.	1
D.	2
Answer» C. 1

3.	What will be the value of ( begin{vmatrix}2bc a^2 & c^2 & b^2 c^2 & 2ac b^2 & a^2 b^2 & a^2 & 2ab c^2 end {vmatrix} ) if given another determinant ( begin{vmatrix}a & b & c b & c & a c & a & b end {vmatrix} )?
A.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> + 3abc)<sup>2</sup>
B.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> + 3abc)<sup>2</sup>
C.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> 3abc)<sup>2</sup>
D.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> 3abc)<sup>2</sup>
Answer» D. (a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> 3abc)<sup>2</sup>

4.	What will be the value of ( begin{vmatrix}a & b & c b & c & a c & a & b end {vmatrix} )?
A.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> + 3abc)
B.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> + 3abc)
C.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> 3abc)
D.	(a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> 3abc)
Answer» E.

5.	What is the value of ( begin{vmatrix}1 & cosx-sinx & cosx + sinx 1 & cosy-siny & cosy + siny 1 & cosz-sinz & cosz + sinz end {vmatrix} )?
A.	3 ( begin{vmatrix}1 & cosx & sinx 1 & cosy & siny 1 & cosz & sinz end {vmatrix} )
B.	( begin{vmatrix}1 & cosx & sinx 1 & cosy & siny 1 & cosz & sinz end {vmatrix} )
C.	2 ( begin{vmatrix}1 & cosx & sinx 1 & cosy & siny 1 & cosz & sinz end {vmatrix} )
D.	4 ( begin{vmatrix}1 & cosx & sinx 1 & cosy & siny 1 & cosz & sinz end {vmatrix} )
Answer» D. 4 ( begin{vmatrix}1 & cosx & sinx 1 & cosy & siny 1 & cosz & sinz end {vmatrix} )

6.	What will be the value of f(x) if ( begin{vmatrix}1 & ab & ( frac{1}{a} + frac{1}{b}) 1 & bc & ( frac{1}{b} + frac{1}{c}) 1 & ca & ( frac{1}{c} + frac{1}{a}) end {vmatrix} )?
A.	-1
B.	0
C.	1
D.	Can t be predicted
Answer» D. Can t be predicted

7.	What will be the value of f(x) if ( begin{vmatrix}2ab & a^2 & b^2 a^2 & b^2 & 2ab b^2 & 2ab & a^2 end {vmatrix} )?
A.	a<sup>2</sup> + b<sup>2</sup>
B.	-(a<sup>2</sup> + b<sup>2</sup>)
C.	-(a<sup>2</sup> + b<sup>2</sup>)<sup>3</sup>
D.	-(a<sup>3</sup> + b<sup>3</sup>)<sup>2</sup>
Answer» E.

8.	What is the value of ( begin{vmatrix}sin^2 a & sina , cosa & cos^2 a sin^2 b & sinb , cosb & cos^2 b sin^2 c & sinc , cosc & cos^2 c end {vmatrix} )?
A.	-sin(a b) sin(b c) sin(c a)
B.	sin(a b) sin(b c) sin(c a)
C.	-sin(a + b) sin(b + c) sin(c + a)
D.	sin(a + b) sin(b + c) sin(c + a)
Answer» B. sin(a b) sin(b c) sin(c a)

9.	What will be the value of ( begin{vmatrix}cos^2 & cos , sin & -sin cos , sin & sin^2 & cos sin & -cos & 0 end {vmatrix} )?
A.	-1
B.	0
C.	1
D.	2
Answer» D. 2

10.	What will be the value of f(x) if ( begin{vmatrix}x & b & c a & y & c a & b & z end {vmatrix} )?
A.	(x a)(y b)(z c)( ( frac{x}{x-a} + frac{b}{y b} frac{c}{z-c} ) 2)
B.	(x a)(y b)(z c)( ( frac{x}{x-a} frac{b}{y b} frac{c}{z-c} ) 2)
C.	(x a)(y b)(z c)( ( frac{x}{x-a} + frac{b}{y b} + frac{c}{z-c} ) 2)
D.	(x a)(y b)(z c)( ( frac{x}{x-a} + frac{b}{y b} + frac{c}{z-c} ) + 2)
Answer» D. (x a)(y b)(z c)( ( frac{x}{x-a} + frac{b}{y b} + frac{c}{z-c} ) + 2)

11.	What will be the value of ( begin{vmatrix}0 & p-q & a b q p & 0 & x y b a & y x & 0 end {vmatrix} )?
A.	0
B.	a + b
C.	x + y
D.	p + q
Answer» B. a + b