The normal to the curve x=a(1+cos theta...

The normal to the curve `x=a(1+cos theta), y=a sin theta " at " 'theta ' ` always passes through the fixed point

A

(a, a)

B

(0, a)

C

(0, 0)

D

(a, 0)

Text Solution

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The correct Answer is:

D

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Knowledge Check

The normal to the curve x= a(1+costheta),y =a sin theta at 'theta' always passes through the fixed point

A

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B

(a,0)

C

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D

none of these

The equation of normal to the curve x= a cos^(3) theta, y=a sin^(3) theta" at "theta=(pi)/(4) is

A

x-y=0

B

x+y=0

C

`x-y=asqrt(2)`

D

`x+y=asqrt(2)`

The normal to the curve x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta) at any theta is such that

A

it makes a constant angle with x-axis

B

it passes through the origin

C

it is at a constant distance from the origin

D

none of these

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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1

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