JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Medium

1 of 1

Analyzing +4 | -1

All points on the curve

{y^2} = 4a\left( {x + a\sin \frac{x}{a}} \right)

at which the tangents are parallel to the axis of

x

lie on a

View answer and explanation

Correct option: B

Parabola

Option B (Parabola) is correct because the points where the tangents are parallel to the x-axis lie on the parabola

{y^2} = 4ax

More Questions from TANGENTS & NORMALS

Practice All Chapter MCQs →

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