The tangent at the point $P\left(x_1, y_1\right)$ to the parabola $y^2=4 a x$ meets the parabola $y^2=4 a(x+b)$ at $Q$ and $R$, the coordinates of the mid-point of $Q R$ are

JEE MATHEMATICS MCQ: PARABOLA

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Analyzing +4 | -1

The tangent at the point

P\left(x_1, y_1\right)

to the parabola

y^2=4 a x

meets the parabola

y^2=4 a(x+b)

Q

and

R

, the coordinates of the mid-point of

Q R

are

View answer and explanation

Correct option: B

\left(x_1, y_1\right)

Option B (

(x_1, y_1)

) is correct because the midpoint of the chord QR on the second parabola has the same coordinates as the point P on 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