JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Hard

1 of 1

Analyzing +4 | -1

Let

C

be the curve

y^3-3 x y+2=0

. If

H

is the set of points on the curve

\mathrm{C}

where the tangent is parallel to

x

-axis and

V

is the set of points on

C

where the tangent is parallel to

y

-axis, then

View answer and explanation

Correct option: C

H=\phi, V=\{(1,1)\}

Option C (

H=\phi, V=\{(1,1)\}

) is correct because the tangent is parallel to the x-axis nowhere and parallel to the y-axis at (1,1).

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a

y=x^3-a x

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\theta = \left( {2k + 1} \right)\pi ,\;k \in Z

{x^2} = 4\left( {y + 1} \right)

{x^2} = - 4\left( {y + 1} \right)