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The normal to he curve x=a(costheta+thet...

The normal to he curve `x=a(costheta+thetasintheta),y=a(sintheta-thetacostheta)` at any point `'theta'` is such that

A

it passes through the origin

B

it makes angle`pi//2+theta` with the x-axis

C

it passes through `(api//2,-a)`

D

it is at a constant distance from the origin

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  14. The point on the curve y=x^3+x-2, the tangent at which is parallel to ...

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  17. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

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  18. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

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  19. The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perp...

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