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. |
What will be the product of b * c if the equations x2 + bx + c = 0 and x2 + 3x + 3 = 0 have one common root? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 9 |
| Answer» E. | |
| 2. |
According to De Moivre s theorem what is the value of z1/n ? |
| A. | r<sup>1/n</sup> [cos(2k + ) + i sin(2k + )] |
| B. | r<sup>1/n</sup> [cos(2k + )/n i sin(2k + )/n] |
| C. | r<sup>1/n</sup> [cos(2k + )/n + i sin(2k + )/n] |
| D. | r<sup>1/n</sup> [cos(2k + ) i sin(2k + )] |
| Answer» D. r<sup>1/n</sup> [cos(2k + ) i sin(2k + )] | |
| 3. |
If |z1| = 4, |z2| = 3, then what is the value of |z1 + z2 + 3 + 4i|? |
| A. | Less than 2 |
| B. | Less than 5 |
| C. | Less than 7 |
| D. | Less than 12 |
| Answer» E. | |
| 4. |
What will be the sum of b + c if the equations x2 + bx + c = 0 and x2 + 3x + 3 = 0 have one common root? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |
| 5. |
If x2 + px + 1 = 0 and (a b)x2 + (b c)x + (c a) = 0 have both roots common, then what is the form of a, b, c? |
| A. | a, b, c are in A.P |
| B. | b, a, c are in A.P |
| C. | b, a, c are in G.P |
| D. | b, a, c are in H.P |
| Answer» C. b, a, c are in G.P | |
| 6. |
If p and q are the roots of the equation x2 + px + q =0 then, what are the values of p and q? |
| A. | p = 1, q = -2 |
| B. | p = 0, q = 1 |
| C. | p = -2, q = 0 |
| D. | p = -2, q = 1 |
| Answer» B. p = 0, q = 1 | |
| 7. |
If, and are the roots of the equation 2x2 3x 6 = 0, then what is the equation whose roots are 2 + 2 and 2 + 2? |
| A. | 4x<sup>2</sup> + 49x + 118 =0 |
| B. | 4x<sup>2</sup> 49x + 118 =0 |
| C. | 4x<sup>2</sup> 49x 118 =0 |
| D. | x<sup>2</sup> 49x + 118 =0 |
| Answer» C. 4x<sup>2</sup> 49x 118 =0 | |
| 8. |
If x2 + ax + b = 0 and x2 + bx + a = 0 have exactly 1 common root then what is the value of (a + b)? |
| A. | 1 |
| B. | 0 |
| C. | -1 |
| D. | 3 |
| Answer» D. 3 | |
| 9. |
If acos + bsin = c have roots and . Then, what will be the value of sin * sin ? |
| A. | 2bc/(a<sup>2</sup> + b<sup>2</sup>) |
| B. | 0 |
| C. | 1 |
| D. | (c<sup>2</sup> + a<sup>2</sup>)/(a<sup>2</sup> + b<sup>2</sup>) |
| Answer» E. | |
| 10. |
If acos + bsin = c have roots and . Then, what will be the value of sin + sin ? |
| A. | 2bc/(a<sup>2</sup> + b<sup>2</sup>) |
| B. | 0 |
| C. | 1 |
| D. | (c<sup>2</sup> + a<sup>2</sup>)/(a<sup>2</sup> + b<sup>2</sup>) |
| Answer» B. 0 | |