MCQOPTIONS
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MCQOPTIONS
This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What will be the value of \(\begin{vmatrix}0 & i – 100 & i – 500 \\100 – i & 0 & 1000 – i \\500 – i & i – 1000 & 0 \end {vmatrix}\)? |
| A. | 100 |
| B. | 500 |
| C. | 1000 |
| D. | 0 |
| Answer» E. | |
| 2. |
What is the value of r = 1Σn f(x) if f(r) = \(\begin{vmatrix}2r & x & n(n + 1) \\(6r^2 – 1) & y & n^2 (2n + 3) \\(4r^3 – 2nr) & z & n^3(n + 1) \end {vmatrix}\) where n € N? |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | 2 |
| Answer» D. 2 | |
| 3. |
What is the value of x if, \(\begin{vmatrix}x & 3 & 6 \\3 & 6 & x \\6 & x & 3 \end {vmatrix}\) = \(\begin{vmatrix}2 & x & 7 \\x & 7 & 2 \\7 & 2 & x \end {vmatrix}\) = \(\begin{vmatrix}4 & 5 & x \\5 & x & 4 \\x & 4 & 6 \end {vmatrix}\)? |
| A. | 9 |
| B. | -9 |
| C. | 0 |
| D. | Can’t be predicted |
| Answer» C. 0 | |
| 4. |
If the system of equation 2x + 5y + 8z = 0, x + 4y + 7z = 0, 6x + 9y – αz = 0 has a non trivial solution then what is the value of α? |
| A. | -12 |
| B. | 0 |
| C. | 12 |
| D. | 2 |
| Answer» D. 2 | |
| 5. |
What is the value of \(\begin{vmatrix}-bc & ca + ab & ca + ab \\ab + bc & -ca & ab + bc \\bc + ca & bc + ca & -ab \end {vmatrix}\) ? |
| A. | Σabb) (Σab)2c) (Σab)3d) (Σa |
| B. | (Σab)2 |
| C. | (Σab)3 |
| D. | (Σab)4 |
| Answer» D. (Σab)4 | |