JEE MATHEMATICS MCQ: PARABOLA

1 Easy

1 of 1

Analyzing +4 | -1

P

and

Q

are two distinct points on the parabola,

y^{2}=4 x

, with parameters

t

and

t_{1}

respectively. If the normal at

P

passes through

\mathrm{Q}

, then the minimum value of

\mathrm{t}_{1}^{2}

is :

View answer and explanation

Correct option: A

Option A (8) is correct because the minimum value of

t_1^2

is found using the relationship between

t

and

t_1

and applying AM-GM inequality.

More Questions from PARABOLA

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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