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Consider the ellipse whose major and min...

Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If `phi` is the angle between the CP and the normal at point P on the ellipse, and the greatest value `tan phi` is `3/4` (where C is the centre of the ellipse). Also semi-major axis is 10 units . The eccentricity of the ellipse is

A

`1//2`

B

`1//3`

C

`sqrt(3)//2`

D

none of these

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the mathematical reasoning provided in the video transcript and derive the eccentricity of the ellipse. ### Step 1: Understand the Given Information We are given: - The semi-major axis \( a = 10 \) units. - The greatest value of \( \tan \phi = \frac{3}{4} \). - The ellipse is centered at the origin with the major axis along the x-axis and the minor axis along the y-axis. ...
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