JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Analyzing +4 | -1

The line

\frac{x}{a} + \frac{y}{b} = 2

touches the curve

{\left( {\frac{x}{a}} \right)^n} + {\left( {\frac{y}{b}} \right)^n} = 2

at the point (a,b) for

View answer and explanation

Correct option: C

Any

n \in R

Option C (Any

n \in R

) is correct because the tangent to the curve at (a, b) is the same regardless of the value of n.

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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