Question:
If any point on an ellipse is (3sina, 5cosa), then what is the eccentricity of the ellipse?
If any point on an ellipse is (3sina, 5cosa), then what is the eccentricity of the ellipse?
Options:
- a) 4 3
- b) 4 5
- c) 3 4
- d) 1 2 Direction for Questions (91-94): Consider the following for the four (04) times that follow: The frequency distribution of height of students of a class is given below: Height (in cm) Number of students 160-162 12 162-164 15 164-166 24 166-168 13
- a) 4 3
- b) 4 5
- c) 3 4
- d) 1 2 Direction for Questions (91-94): Consider the following for the four (04) times that follow: The frequency distribution of height of students of a class is given below: Height (in cm) Number of students 160-162 12 162-164 15 164-166 24 166-168 13
correct answer : a)
Explanation:
We know that the parametric point
of ellipse is (a sin a) b cos a)
\ a = 3 and b = 5
b2 = a2 (1 – e2) Þ 25
9
= 1 – e2
e2 = 1 –
25
9
=
16
9
Þ e =
4
3
We know that the parametric point
of ellipse is (a sin a) b cos a)
\ a = 3 and b = 5
b2 = a2 (1 – e2) Þ 25
9
= 1 – e2
e2 = 1 –
25
9
=
16
9
Þ e =
4
3