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The equation of the normal to the curve ...

The equation of the normal to the curve `(x/a)^(2//3)+(y/b)^(2//3)=1` at `(a cos^3theta,bsin^3theta)` is

A

`axcostheta+bysintheta=a^2cos^4+b^2sin^4theta`

B

`axcostheta-bysintheta=a^2cos^4-b^2sin^4theta`

C

`x/(acostheta)+y/(bsintheta)=1`

D

`x/(acostheta)-y/(bsintheta)=1`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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