JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Application +4 | -1

The line

\left( {x/a} \right) + \left( {y/b} \right) = 2

touches the curve

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

, at

View answer and explanation

Correct option: C

\left( {a,\;b} \right)

Option C

\left( {a,\;b} \right)

is the correct answer because it satisfies both the line and curve equations at the point of tangency.

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