JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Analyzing +4 | -1

Let

y=f(x)

be the equation of a parabola which is touched by the line

y=x

at the point where

x=1

. Then,

View answer and explanation

Correct option: D

2 f(0)=1-f^{\prime}(0)

Option D (

2 f(0)=1-f^{\prime}(0)

) is correct because it is derived from the conditions that the parabola is tangent to the line y=x at x=1.

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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