The normal chord of a parabola ${y^2} = 4ax$ at $\left( {{x_1},{x_1}} \right)$ subtends a right angle at the

JEE MATHEMATICS MCQ: PARABOLA

1 Easy

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Analyzing +4 | -1

The normal chord of a parabola

{y^2} = 4ax

\left( {{x_1},{x_1}} \right)

subtends a right angle at the

View answer and explanation

Correct option: A

Focus

Option B (A parabola with vertex at

\left( {2,1} \right)

) is correct. By eliminating the parameter 't', we obtain the equation of a parabola with vertex at (2,1).

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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