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This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
1. |
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 | |
2. |
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 | |
3. |
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 | |
4. |
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 | |
5. |
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. | |
6. |
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. | |
7. |
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) | |
8. |
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) | |