JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Application +4 | -1

If the tangent at a point

P

, with parameter

t

, on the curve

x=4 t^2+3, y=8 t^3-1, t \in R

, meets the curve again at

Q

, then the coordinates of

Q

are

View answer and explanation

Correct option: A

\left(t^2+3,-t^3-1\right)

Option A

\left(t^2+3,-t^3-1\right)

is correct because it is found by determining the intersection point of the tangent line at parameter t with the original curve.

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