JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Analyzing +4 | -1

At which point the line

\frac{x}{a}+\frac{y}{b}=1

, touches the curve

y=b e^{-x i a}

View answer and explanation

Correct option: C

(0, b)

Option C ((0, b)) is correct because it is the point where the line and the curve have the same slope, indicating tangency.

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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