MCQOPTIONS
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MCQOPTIONS
This section includes 11 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 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. |
If length of major axis is 10 and minor axis is 8 and major axis is along x-axis 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» C. (( frac{x}{10})^2+( frac{y}{8})^2 )=1 | |
| 3. |
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 | |
| 4. |
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 | |
| 5. |
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 | |
| 6. |
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. | |
| 7. |
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 | |
| 8. |
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) | |
| 9. |
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) | |
| 10. |
The center of ellipse is same as a vertex. |
| A. | True |
| B. | False |
| Answer» C. | |
| 11. |
An ellipse has ___________ vertices and ____________ foci. |
| A. | two, one |
| B. | one, one |
| C. | one, two |
| D. | two, two |
| Answer» E. | |