MCQOPTIONS
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MCQOPTIONS
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 | |