MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A hyperbola in which length of transverse and conjugate axis are equal is called _________ hyperbola. |
| A. | isosceles |
| B. | equilateral |
| C. | bilateral |
| D. | right |
| Answer» C. bilateral | |
| 2. |
If foci of a hyperbola are (0, ±5) and length of semi transverse axis is 3 units, then find the equation of hyperbola. |
| A. | \((\frac{x}{4})^2-(\frac{y}{3})^2\)=1 |
| B. | \((\frac{x}{3})^2-(\frac{y}{4})^2\)=1 |
| C. | \((\frac{x}{10})^2+(\frac{y}{8})^2\)=1 |
| D. | \((\frac{x}{8})^2-(\frac{y}{6})^2\)=1 |
| Answer» B. \((\frac{x}{3})^2-(\frac{y}{4})^2\)=1 | |
| 3. |
If length of transverse axis is 8 and conjugate axis is 10 and transverse axis is along x-axis then find the equation of hyperbola. |
| A. | \((\frac{x}{4})^2-(\frac{y}{5})^2\)=1 |
| B. | \((\frac{x}{5})^2-(\frac{y}{4})^2\)=1 |
| C. | \((\frac{x}{10})^2-(\frac{y}{8})^2\)=1 |
| D. | \((\frac{x}{8})^2-(\frac{y}{10})^2\)=1 |
| Answer» B. \((\frac{x}{5})^2-(\frac{y}{4})^2\)=1 | |
| 4. |
What is equation of latus rectums of hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1? |
| A. | x=±5 |
| B. | y=±5 |
| C. | x=±2 |
| D. | y=±2 |
| Answer» B. y=±5 | |
| 5. |
What is length of latus rectum for hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1? |
| A. | 25/2 |
| B. | 32/3 |
| C. | 5/32 |
| D. | 8/5 |
| Answer» C. 5/32 | |
| 6. |
What is conjugate axis length for hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1? |
| A. | 5 units |
| B. | 4 units |
| C. | 8 units |
| D. | 10 units |
| Answer» D. 10 units | |
| 7. |
What is transverse axis length for hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1? |
| A. | 5 units |
| B. | 4 units |
| C. | 8 units |
| D. | 6 units |
| Answer» E. | |
| 8. |
What is eccentricity for \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1? |
| A. | 2/5 |
| B. | 3/5 |
| C. | 15 |
| D. | 5/3 |
| Answer» E. | |
| 9. |
Find the coordinates of foci of hyperbola \((\frac{y}{16})^2-(\frac{x}{9})^2\)=1. |
| A. | (±5,0) |
| B. | (±4,0) |
| C. | (0,±5) |
| D. | (0,±4) |
| Answer» D. (0,±4) | |
| 10. |
Find the coordinates of foci of hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1. |
| A. | (±5,0) |
| B. | (±4,0) |
| C. | (0,±5) |
| D. | (0,±4) |
| Answer» B. (±4,0) | |
| 11. |
The center of hyperbola is the same as a vertex. |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
A hyperbola has ___________ vertices and ____________ foci. |
| A. | two, one |
| B. | one, one |
| C. | one, two |
| D. | two, two |
| Answer» E. | |