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Find the equation of tangent to the hyperbola `16x^(2)-25y^(2)=400` perpendicular to the line `x-3y=4.`

A

`(pi)/6`

B

`(pi)/4`

C

`(pi)/3`

D

`(pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
D
`(1,2sqrt(2))` lies on director circle
or `(x^(2))/25-(y^(2))/16=1` i.e. `x^(2)+y^(2)=9`
`:.` Required angle `pi//2`
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