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}5&0&5 1&4&3 0&8&6 end{vmatrix} ). |
| A. | 20 |
| B. | 0 |
| C. | -40 |
| D. | 40 |
| Answer» C. -40 | |
| 2. |
Find the determinant of the matrix A= ( begin{bmatrix}-cos &-tan cot &cos end{bmatrix} ). |
| A. | sin<sup>2</sup> u2061 |
| B. | sin u2061 |
| C. | -sin u2061 |
| D. | -sin<sup>2</sup> u2061 |
| Answer» B. sin u2061 | |
| 3. |
Find the determinant of the matrix A= ( begin{bmatrix}9&8 7&6 end{bmatrix} ) |
| A. | -1 |
| B. | 1 |
| C. | 2 |
| D. | -2 |
| Answer» E. | |
| 4. |
Which of the following matrices will not have a determinant? |
| A. | ( begin{bmatrix}4&2 5&4 end{bmatrix} ) |
| B. | ( begin{bmatrix}1&5&4 3&6&2 4&8&7 end{bmatrix} ) |
| C. | ( begin{bmatrix}5&8&9 3&4&6 end{bmatrix} ) |
| D. | ( begin{bmatrix}1&2 5&4 end{bmatrix} ) |
| Answer» D. ( begin{bmatrix}1&2 5&4 end{bmatrix} ) | |
| 5. |
Find the value of x, if ( begin{vmatrix}1&-1 3&-5 end{vmatrix} )= ( begin{vmatrix}x&x^2 3&5 end{vmatrix} ). |
| A. | x=2, ( frac{1}{3} ) |
| B. | x=-1, ( frac{1}{3} ) |
| C. | x=-2, ( frac{1}{3} ) |
| D. | x=0, ( frac{1}{3} ) |
| Answer» B. x=-1, ( frac{1}{3} ) | |
| 6. |
Find the value of x, if ( begin{vmatrix}2&5 3&x end{vmatrix} )= ( begin{vmatrix}x&-1 5&3 end{vmatrix} ). |
| A. | 20 |
| B. | -20 |
| C. | 30 |
| D. | -30 |
| Answer» C. 30 | |
| 7. |
Evaluate ( begin{vmatrix}sin ,y&0&sin ,y cos ,y&1&cos ,x sin ,y&1&sin ,y end{vmatrix} ) |
| A. | sin u2061 y (cos u2061 y-cos u2061 x) |
| B. | sin u2061 x (cos u2061 y-cos u2061 x) |
| C. | sin u2061x (cos u2061 x-cos u2061 y) |
| D. | sin u2061y (cos u2061 2y-cos u2061 x) |
| Answer» B. sin u2061 x (cos u2061 y-cos u2061 x) | |
| 8. |
Evaluate |A|2-5|A|+1, if A= ( begin{bmatrix}7&4 5&5 end{bmatrix} ) |
| A. | 161 |
| B. | 251 |
| C. | 150 |
| D. | 151 |
| Answer» E. | |
| 9. |
Evaluate ( begin{vmatrix}1&0&1 0&0&1 1&0&1 end{vmatrix} ). |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | -1 |
| Answer» C. 1 | |
| 10. |
Evaluate ( begin{vmatrix}3&-1&3 6&-5&4 3&-2&3 end{vmatrix} ) |
| A. | 100 |
| B. | 223 |
| C. | 240 |
| D. | 230 |
| Answer» D. 230 | |