JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1

Let

P\left( {2,\;2} \right)

and

Q\left( {1/2,\; - 1} \right)

be two points on the parabola

{y^2} = 2x

. The coordinates of the point

R

on the parabola

{y^2} = 2x

, where the tangent to the curve is parallel to the chord

PQ

, are

View answer and explanation

Correct option: B

\left( {1/8,\;1/2} \right)

Option B (

\left( {1/8,\;1/2} \right)

) is correct because it represents the point on the parabola where the tangent is parallel to the chord PQ.

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