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The tangent and normal to the ellipse x^...

The tangent and normal to the ellipse `x^(2)+4y^(2)=4` at a point `P(theta)`
on it meets the major axis in Q and R respectively.If `theta lt theta lt (pi)/(2)` and `QR=2` then show that ` theta=cos^(-1)((2)/(3)).`

Text Solution

Verified by Experts

The correct Answer is:
`theta = cos^(-2) (2/3)`
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