MCQOPTIONS
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MCQOPTIONS
This section includes 10 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. | |
| 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 | |
| 3. |
Find the determinant of A= ( begin{bmatrix}c^2&cb&ca ab&a^2&-ac ab&bc&-b^2 end{bmatrix} ) |
| A. | abc(a<sup>3</sup>+b<sup>3</sup>+c<sup>3</sup>+abc) |
| B. | abc(a<sup>3</sup>+b<sup>3</sup>+c<sup>3</sup>-abc) |
| C. | abc(a<sup>3</sup>+b<sup>3</sup>+c<sup>3</sup>+abc) |
| D. | (a<sup>3</sup>-b<sup>3</sup>+c<sup>3</sup>-abc) |
| Answer» C. abc(a<sup>3</sup>+b<sup>3</sup>+c<sup>3</sup>+abc) | |
| 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 | |
| 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| | |
| 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)} | |
| 7. |
Evaluate ( begin{vmatrix}cos &-cos &1 sin^2 &cos^2 &1 sin &-sin &1 end{vmatrix} ). |
| A. | sin u2061 +cos<sup>2</sup> u2061 |
| B. | -sin u2061 -cos<sup>2</sup> u2061 u2061 |
| C. | -sin u2061 +cos<sup>2</sup> u2061 u2061 |
| D. | sin u2061 -cos<sup>2</sup> u2061 u2061 |
| Answer» E. | |
| 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. | x<sup>2</sup> yz<sup>3</sup> |
| Answer» B. 1 | |
| 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) | |
| 10. |
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 | |