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Ellipse Quiz for TGT, PGT, KVS, NDA, UP PGT

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by Chandra Shekhar

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1. The equation of an ellipse with foci (±3, 0) and vertices (±5, 0) is: (UP PGT 2016)

a) x²/25 + y²/16 = 1 b) x²/16 + y²/25 = 1 c) x²/25 + y²/9 = 1 d) x²/9 + y²/16 = 1

2. The eccentricity of the ellipse x²/16 + y²/9 = 1 is: (NDA 2019)

a) √7/4 b) √7/3 c) 1/√7 d) 3/4

3. The length of the major axis of the ellipse x²/25 + y²/16 = 1 is: (UP TGT 2018)

a) 10 b) 8 c) 6 d) 12

4. The center of the ellipse x²/9 + y²/4 = 1 is: (KVS TGT 2017)

a) (0, 0) b) (3, 2) c) (2, 3) d) (0, 2)

5. The foci of the ellipse x²/36 + y²/16 = 1 are: (UP PGT 2020)

a) (±4√5, 0) b) (±2√5, 0) c) (±4, 0) d) (±2, 0)

6. The length of the latus rectum of the ellipse x²/25 + y²/16 = 1 is: (NDA 2021)

a) 32/5 b) 16/5 c) 8/5 d) 4/5

7. The equation of the ellipse with vertices (0, ±5) and foci (0, ±3) is: (UP TGT 2020)

a) x²/16 + y²/25 = 1 b) x²/25 + y²/16 = 1 c) x²/9 + y²/25 = 1 d) x²/25 + y²/9 = 1

8. The eccentricity of the ellipse x²/9 + y²/4 = 1 is: (KVS PGT 2016)

a) √5/3 b) √5/2 c) 1/√5 d) 2/3

9. The vertices of the ellipse x²/16 + y²/9 = 1 are: (UP PGT 2018)

a) (±4, 0) b) (0, ±4) c) (±3, 0) d) (0, ±3)

10. The length of the minor axis of the ellipse x²/25 + y²/16 = 1 is: (NDA 2020)

a) 8 b) 10 c) 6 d) 4

11. The foci of the ellipse x²/4 + y²/9 = 1 are: (UP TGT 2019)

a) (0, ±√5) b) (±√5, 0) c) (0, ±2√5) d) (±2√5, 0)

12. The equation of the directrix of the ellipse x²/16 + y²/9 = 1 is: (UP PGT 2021)

a) x = ±16/√7 b) x = ±4/√7 c) y = ±16/√7 d) y = ±4/√7

13. The center of the ellipse (x-2)²/16 + (y-3)²/9 = 1 is: (KVS TGT 2020)

a) (2, 3) b) (3, 2) c) (2, -3) d) (-2, 3)

14. The eccentricity of the ellipse (x²/25) + (y²/16) = 1 is: (UP TGT 2017)

a) 3/5 b) 4/5 c) 2/5 d) 1/5

15. The length of the latus rectum of the ellipse x²/4 + y²/9 = 1 is: (NDA 2018)

a) 8/3 b) 4/3 c) 2/3 d) 16/3

16. The vertices of the ellipse (x-1)²/9 + (y-2)²/4 = 1 are: (UP PGT 2019)

a) (4, 2), (-2, 2) b) (1, 4), (1, 0) c) (3, 2), (-1, 2) d) (1, 3), (1, 1)

17. The foci of the ellipse (x-2)²/25 + (y-3)²/16 = 1 are: (KVS TGT 2019)

a) (2±3, 3) b) (2, 3±3) c) (2±4, 3) d) (2, 3±4)

18. The equation of the ellipse with center (0, 0), major axis 10, and minor axis 6 is: (UP TGT 2021)

a) x²/25 + y²/9 = 1 b) x²/9 + y²/25 = 1 c) x²/16 + y²/9 = 1 d) x²/25 + y²/16 = 1

19. The directrix of the ellipse x²/9 + y²/4 = 1 is: (NDA 2017)

a) x = ±9/√5 b) x = ±3/√5 c) y = ±9/√5 d) y = ±3/√5

20. The length of the major axis of the ellipse (x-1)²/16 + (y-2)²/9 = 1 is: (UP PGT 2017)

a) 8 b) 6 c) 10 d) 4

21. The eccentricity of the ellipse x²/4 + y²/9 = 1 is: (KVS PGT 2020)

a) √5/3 b) √5/2 c) 2/3 d) 1/√5

22. The vertices of the ellipse x²/9 + y²/16 = 1 are: (UP TGT 2016)

a) (0, ±4) b) (±4, 0) c) (0, ±3) d) (±3, 0)

23. The foci of the ellipse x²/25 + y²/9 = 1 are: (NDA 2020)

a) (±4, 0) b) (0, ±4) c) (±3, 0) d) (0, ±3)

24. The length of the latus rectum of the ellipse (x-2)²/9 + (y-3)²/4 = 1 is: (UP PGT 2020)

a) 8/3 b) 4/3 c) 2/3 d) 16/3

25. The center of the ellipse x²/16 + y²/9 = 1 is: (KVS TGT 2018)

a) (0, 0) b) (4, 3) c) (3, 4) d) (0, 3)

26. The equation of the ellipse with foci (±2, 0) and vertices (±3, 0) is: (UP TGT 2020)

a) x²/9 + y²/5 = 1 b) x²/5 + y²/9 = 1 c) x²/9 + y²/4 = 1 d) x²/4 + y²/9 = 1

27. The length of the minor axis of the ellipse (x-1)²/25 + (y-2)²/16 = 1 is: (NDA 2019)

a) 8 b) 10 c) 6 d) 4

28. The eccentricity of the ellipse x²/16 + y²/25 = 1 is: (UP PGT 2019)

a) 3/5 b) 4/5 c) 2/5 d) 1/5

29. The foci of the ellipse x²/9 + y²/25 = 1 are: (KVS TGT 2021)

a) (0, ±4) b) (±4, 0) c) (0, ±3) d) (±3, 0)

30. The length of the latus rectum of the ellipse x²/36 + y²/16 = 1 is: (UP TGT 2018)

a) 32/6 b) 16/6 c) 8/6 d) 4/6

31. The equation of the ellipse with center (2, 3), major axis 8, and minor axis 6 is: (UP PGT 2021)

a) (x-2)²/16 + (y-3)²/9 = 1 b) (x-2)²/9 + (y-3)²/16 = 1 c) (x-2)²/25 + (y-3)²/16 = 1 d) (x-2)²/16 + (y-3)²/25 = 1

32. The vertices of the ellipse (x-2)²/25 + (y-3)²/16 = 1 are: (NDA 2021)

a) (7, 3), (-3, 3) b) (2, 7), (2, -1) c) (6, 3), (-2, 3) d) (2, 6), (2, 0)

33. The directrix of the ellipse x²/4 + y²/9 = 1 is: (KVS PGT 2018)

a) y = ±9/√5 b) y = ±3/√5 c) x = ±9/√5 d) x = ±3/√5

34. The length of the major axis of the ellipse x²/9 + y²/16 = 1 is: (UP TGT 2019)

a) 8 b) 6 c) 10 d) 4

35. The eccentricity of the ellipse (x-1)²/9 + (y-2)²/4 = 1 is: (NDA 2018)

a) √5/3 b) √5/2 c) 1/√5 d) 2/3

36. The foci of the ellipse x²/16 + y²/25 = 1 are: (UP PGT 2018)

a) (0, ±3) b) (±3, 0) c) (0, ±4) d) (±4, 0)

37. The length of the latus rectum of the ellipse x²/9 + y²/25 = 1 is: (KVS TGT 2017)

a) 18/5 b) 9/5 c) 6/5 d) 12/5

38. The vertices of the ellipse x²/4 + y²/9 = 1 are: (UP TGT 2021)

a) (0, ±3) b) (±3, 0) c) (0, ±2) d) (±2, 0)

39. The directrix of the ellipse (x-2)²/16 + (y-3)²/9 = 1 is: (NDA 2019)

a) x = 2 ± 16/√7 b) x = 2 ± 4/√7 c) y = 3 ± 16/√7 d) y = 3 ± 4/√7

40. The length of the minor axis of the ellipse x²/36 + y²/16 = 1 is: (UP PGT 2020)

a) 8 b) 12 c) 6 d) 4

41. The center of the ellipse (x-3)²/9 + (y-4)²/16 = 1 is: (KVS TGT 2020)

a) (3, 4) b) (4, 3) c) (3, -4) d) (-3, 4)

42. The eccentricity of the ellipse x²/36 + y²/16 = 1 is: (UP TGT 2018)

a) √5/6 b) √5/4 c) 2/3 d) 1/√5

43. The foci of the ellipse (x-1)²/4 + (y-2)²/9 = 1 are: (NDA 2020)

a) (1, 2±√5) b) (1±√5, 2) c) (1, 2±2√5) d) (1±2√5, 2)

44. The length of the latus rectum of the ellipse x²/16 + y²/25 = 1 is: (UP PGT 2021)

a) 32/5 b) 16/5 c) 8/5 d) 4/5

45. The vertices of the ellipse (x-2)²/16 + (y-3)²/9 = 1 are: (KVS TGT 2019)

a) (6, 3), (-2, 3) b) (2, 6), (2, 0) c) (5, 3), (-1, 3) d) (2, 5), (2, 1)

46. The directrix of the ellipse x²/25 + y²/9 = 1 is: (UP TGT 2020)

a) x = ±25/4 b) x = ±5/4 c) y = ±25/4 d) y = ±5/4

47. The length of the major axis of the ellipse (x-3)²/9 + (y-4)²/16 = 1 is: (NDA 2018)

a) 8 b) 6 c) 10 d) 4

48. The eccentricity of the ellipse x²/9 + y²/16 = 1 is: (UP PGT 2019)

a) √7/4 b) √7/3 c) 1/√7 d) 3/4

49. The foci of the ellipse x²/25 + y²/16 = 1 are: (KVS TGT 2021)

a) (±3, 0) b) (0, ±3) c) (±4, 0) d) (0, ±4)

50. The length of the latus rectum of the ellipse (x-1)²/4 + (y-2)²/9 = 1 is: (UP TGT 2017)

a) 8/3 b) 4/3 c) 2/3 d) 16/3

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Ellipse Quiz for TGT, PGT, KVS, NDA, UP PGT

1. The equation of an ellipse with foci (±3, 0) and vertices (±5, 0) is: (UP PGT 2016)

2. The eccentricity of the ellipse x²/16 + y²/9 = 1 is: (NDA 2019)

3. The length of the major axis of the ellipse x²/25 + y²/16 = 1 is: (UP TGT 2018)

4. The center of the ellipse x²/9 + y²/4 = 1 is: (KVS TGT 2017)

5. The foci of the ellipse x²/36 + y²/16 = 1 are: (UP PGT 2020)

6. The length of the latus rectum of the ellipse x²/25 + y²/16 = 1 is: (NDA 2021)

7. The equation of the ellipse with vertices (0, ±5) and foci (0, ±3) is: (UP TGT 2020)

8. The eccentricity of the ellipse x²/9 + y²/4 = 1 is: (KVS PGT 2016)

9. The vertices of the ellipse x²/16 + y²/9 = 1 are: (UP PGT 2018)

10. The length of the minor axis of the ellipse x²/25 + y²/16 = 1 is: (NDA 2020)

11. The foci of the ellipse x²/4 + y²/9 = 1 are: (UP TGT 2019)

12. The equation of the directrix of the ellipse x²/16 + y²/9 = 1 is: (UP PGT 2021)

13. The center of the ellipse (x-2)²/16 + (y-3)²/9 = 1 is: (KVS TGT 2020)

14. The eccentricity of the ellipse (x²/25) + (y²/16) = 1 is: (UP TGT 2017)

15. The length of the latus rectum of the ellipse x²/4 + y²/9 = 1 is: (NDA 2018)

16. The vertices of the ellipse (x-1)²/9 + (y-2)²/4 = 1 are: (UP PGT 2019)

17. The foci of the ellipse (x-2)²/25 + (y-3)²/16 = 1 are: (KVS TGT 2019)

18. The equation of the ellipse with center (0, 0), major axis 10, and minor axis 6 is: (UP TGT 2021)

19. The directrix of the ellipse x²/9 + y²/4 = 1 is: (NDA 2017)

20. The length of the major axis of the ellipse (x-1)²/16 + (y-2)²/9 = 1 is: (UP PGT 2017)

21. The eccentricity of the ellipse x²/4 + y²/9 = 1 is: (KVS PGT 2020)

22. The vertices of the ellipse x²/9 + y²/16 = 1 are: (UP TGT 2016)

23. The foci of the ellipse x²/25 + y²/9 = 1 are: (NDA 2020)

24. The length of the latus rectum of the ellipse (x-2)²/9 + (y-3)²/4 = 1 is: (UP PGT 2020)

25. The center of the ellipse x²/16 + y²/9 = 1 is: (KVS TGT 2018)

26. The equation of the ellipse with foci (±2, 0) and vertices (±3, 0) is: (UP TGT 2020)

27. The length of the minor axis of the ellipse (x-1)²/25 + (y-2)²/16 = 1 is: (NDA 2019)

28. The eccentricity of the ellipse x²/16 + y²/25 = 1 is: (UP PGT 2019)

29. The foci of the ellipse x²/9 + y²/25 = 1 are: (KVS TGT 2021)

30. The length of the latus rectum of the ellipse x²/36 + y²/16 = 1 is: (UP TGT 2018)

31. The equation of the ellipse with center (2, 3), major axis 8, and minor axis 6 is: (UP PGT 2021)

32. The vertices of the ellipse (x-2)²/25 + (y-3)²/16 = 1 are: (NDA 2021)

33. The directrix of the ellipse x²/4 + y²/9 = 1 is: (KVS PGT 2018)

34. The length of the major axis of the ellipse x²/9 + y²/16 = 1 is: (UP TGT 2019)

35. The eccentricity of the ellipse (x-1)²/9 + (y-2)²/4 = 1 is: (NDA 2018)

36. The foci of the ellipse x²/16 + y²/25 = 1 are: (UP PGT 2018)

37. The length of the latus rectum of the ellipse x²/9 + y²/25 = 1 is: (KVS TGT 2017)

38. The vertices of the ellipse x²/4 + y²/9 = 1 are: (UP TGT 2021)

39. The directrix of the ellipse (x-2)²/16 + (y-3)²/9 = 1 is: (NDA 2019)

40. The length of the minor axis of the ellipse x²/36 + y²/16 = 1 is: (UP PGT 2020)

41. The center of the ellipse (x-3)²/9 + (y-4)²/16 = 1 is: (KVS TGT 2020)

42. The eccentricity of the ellipse x²/36 + y²/16 = 1 is: (UP TGT 2018)

43. The foci of the ellipse (x-1)²/4 + (y-2)²/9 = 1 are: (NDA 2020)

44. The length of the latus rectum of the ellipse x²/16 + y²/25 = 1 is: (UP PGT 2021)

45. The vertices of the ellipse (x-2)²/16 + (y-3)²/9 = 1 are: (KVS TGT 2019)

46. The directrix of the ellipse x²/25 + y²/9 = 1 is: (UP TGT 2020)

47. The length of the major axis of the ellipse (x-3)²/9 + (y-4)²/16 = 1 is: (NDA 2018)

48. The eccentricity of the ellipse x²/9 + y²/16 = 1 is: (UP PGT 2019)

49. The foci of the ellipse x²/25 + y²/16 = 1 are: (KVS TGT 2021)

50. The length of the latus rectum of the ellipse (x-1)²/4 + (y-2)²/9 = 1 is: (UP TGT 2017)

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