JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

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Understanding +4 | -1

The tangent to a given curve is perpendicular to

x

-axis, if

View answer and explanation

Correct option: C

\frac{d x}{d y}=0

Option C (

\frac{d x}{d y}=0

) is correct because if the tangent is perpendicular to the x-axis, it means the tangent is vertical, and the slope

\frac{dy}{dx}

is undefined, which implies

\frac{dx}{dy} = 0

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