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If the tangent drawn at point (t^2,2t) o...

If the tangent drawn at point `(t^2,2t)` on the parabola `y^2=4x` is the same as the normal drawn at point `(sqrt(5)costheta,2sintheta)` on the ellipse `4x^2+5y^2=20,` then `theta=cos^(-1)(-1/(sqrt(5)))` (b) `theta=cos^(-1)(1/(sqrt(5)))` `t=-2/(sqrt(5))` (d) `t=-1/(sqrt(5))`

A

`sqrt(5)`

B

`-sqrt(5)`

C

`(1)/(sqrt(5))`

D

`-(2)/(sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
C
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