If the tangent at the point $P(2,4)$ to the parabola $y^2=8 x$ meets the parabola $y^2=8 x+5$ at $Q$ and $R$, then the mid-point of $Q R$, is

JEE MATHEMATICS MCQ: PARABOLA

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Application +4 | -1

If the tangent at the point

P(2,4)

to the parabola

y^2=8 x

meets the parabola

y^2=8 x+5

Q

and

R

, then the mid-point of

Q R

, is

View answer and explanation

Correct option: A

(2,4)

Option A (2,4) is correct because the midpoint of the chord QR is the same as the point P where the tangent is drawn to the first parabola.

Practice All Chapter MCQs →

y=x^2

y=-(x-2)^2

P

y^2=16 x

P

P,Q,R

{y^2} = 4x

P

R

Q

PR

(1,0)

y^2+4 x=8

x^2=-16 y

I

{y^2} = 4ax

SP

SQ

PQ,S

SP,l

SQ