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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 an ellipse are (0, ±3) and length of semimajor axis is 5 units, then find the equation of ellipse. |
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 | |
2. |
What is equation of latus rectums of ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1? |
A. | x=±3 |
B. | y=±3 |
C. | x=±2 |
D. | y=±2 |
Answer» B. y=±3 | |
3. |
What is length of latus rectum for ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1? |
A. | 25/2 |
B. | 32/5 |
C. | 5/32 |
D. | 8/5 |
Answer» C. 5/32 | |
4. |
What is minor axis length for ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1? |
A. | 5 units |
B. | 4 units |
C. | 8 units |
D. | 10 units |
Answer» D. 10 units | |
5. |
What is major axis length for ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1? |
A. | 5 units |
B. | 4 units |
C. | 8 units |
D. | 10 units |
Answer» E. | |
6. |
What is eccentricity for \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1? |
A. | 2/5 |
B. | 3/5 |
C. | 15 |
D. | 5/3 |
Answer» C. 15 | |
7. |
Find the coordinates of foci of ellipse \((\frac{x}{16})^2+(\frac{y}{25})^2\)=1. |
A. | (±3,0) |
B. | (±4,0) |
C. | (0,±3) |
D. | (0,±4) |
Answer» D. (0,±4) | |
8. |
Find the coordinates of foci of ellipse \((\frac{x}{25})^2+(\frac{y}{16})^2\)=1. |
A. | (±3,0) |
B. | (±4,0) |
C. | (0,±3) |
D. | (0,±4) |
Answer» B. (±4,0) | |