JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1

If the line

x \cos \alpha+y \sin \alpha=P

touches the curve

4 x^{3}=27 a y^{2}

, then

\frac{P}{a}=

View answer and explanation

Correct option: A

\cot ^{2} \alpha \cos \alpha

Option A (

\cot ^{2} \alpha \cos \alpha

) is correct because it is derived by finding the point of tangency and substituting it into the line equation.

More Questions from TANGENTS & NORMALS

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a

y=x^3-a x

x^2 y=1-y

x y=1-y

C

y^3-3 x y+2=0

H

\mathrm{C}

x

V

C

y

y-e^{x y}+x=0

y = f\left( x \right)

x

x = a\left( {\theta - \sin \theta } \right),\;y = a\left( {1 + \cos \theta } \right)

\theta = \left( {2k + 1} \right)\pi ,\;k \in Z