MCQOPTIONS
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MCQOPTIONS
This section includes 9 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 the curves x2/a + y2/b = 1 and x2/c + y2/d = 1 intersect at right angles, then which one is the correct relation? |
| A. | b a = c d |
| B. | a + b = c + d |
| C. | a b = c d |
| D. | a b = c + d |
| Answer» D. a b = c + d | |
| 2. |
What will be the value of angle between the curves x2 y2 = 2a2 and xv + y2 = 4a2? |
| A. | /2 |
| B. | /4 |
| C. | /6 |
| D. | /3 |
| Answer» E. | |
| 3. |
What will be the equation of the circle which touches the line x + 2y + 5 = 0 and passes through the point of intersection of the circle x2 + y2 = 1 and x2 + y2 + 2x + 4y + 1 = 0? |
| A. | x<sup>2</sup> + y<sup>2</sup> + 2x + y = 0 |
| B. | x<sup>2</sup> + y<sup>2</sup> + x + 2y = 1 |
| C. | x<sup>2</sup> + y<sup>2</sup> + x + 2y = 0 |
| D. | x<sup>2</sup> + y<sup>2</sup> + 2x + 2y = 1 |
| Answer» D. x<sup>2</sup> + y<sup>2</sup> + 2x + 2y = 1 | |
| 4. |
If the normal to the ellipse x2 + 3y2 = 12 at the point be inclined at 60 to the major axis, then at what angle does the line joining the curve to the point is inclined to the same axis? |
| A. | 90 |
| B. | 45 |
| C. | 60 |
| D. | 30 |
| Answer» E. | |
| 5. |
What will be the length of a tangent from the point (7, 2) to the circle 2x2 + 2y2 + 5 x + y = 15? |
| A. | 10 units |
| B. | 8 units |
| C. | 6 units |
| D. | 4 units |
| Answer» C. 6 units | |
| 6. |
What will be the co-ordinates of the foot of the normal to the parabola y2 = 3x which is perpendicular to the line y = 2x + 4? |
| A. | (-3/16, -3/4) |
| B. | (-3/16, 3/4) |
| C. | (3/16, -3/4) |
| D. | (3/16, 3/4) |
| Answer» E. | |
| 7. |
What will be the equation of the normal to the parabola y2 = 3x which is perpendicular to the line y = 2x + 4? |
| A. | 16x + 32y = 27 |
| B. | 16x 32y = 27 |
| C. | 16x + 32y = -27 |
| D. | -16x + 32y = 27 |
| Answer» B. 16x 32y = 27 | |
| 8. |
What will be the co-ordinates of the foot of the normal to the parabola y2 = 5x that makes an angle 45 with the x axis? |
| A. | (-5/4, 5/2) |
| B. | (5/4, 5/2) |
| C. | (5/4, -5/2) |
| D. | (-5/4, -5/2) |
| Answer» C. (5/4, -5/2) | |
| 9. |
What will be the equation of the normal to the parabola y2 = 5x that makes an angle 45 with the x axis? |
| A. | 4(x y) = 15 |
| B. | 4(x + y) = 15 |
| C. | 2(x y) = 15 |
| D. | 2(x + y) = 15 |
| Answer» B. 4(x + y) = 15 | |