Back to PARABOLA

JEE MATHEMATICS MCQ: PARABOLA

1 Easy

1 of 1

Application +4 | -1

The equation to the line touching both the parabolas

{y^2} = 4x

and

{x^2} = - 32y,

is

View answer and explanation

Correct option: D

x - 2y + 4 = 0

Option C (

x - 2y - 4 = 0

) is incorrect. Option D (

x - 2y + 4 = 0

) is correct because this line is tangent to both parabolas

{y^2} = 4x

and

{x^2} = - 32y

.

More Questions from PARABOLA

Practice All Chapter MCQs →

The equation of a common tangent to the parabolas

y=x^2

y=-(x-2)^2

P

moves such that slope of one tangent drawn from it to parabola

y^2=16 x

is four times the slope of other tangent, then the length of latus rectum of the conic represented by locus of

P

P,Q,R

be three points on parabola

{y^2} = 4x

P

R

Q

, then the locus of the mid-point of the chord

PR

is a parabola whose vertex is at The tangents at the end points of any chord through

(1,0)

to the parabola

y^2+4 x=8

intersect The focus of the parabola

x^2=-16 y

I

denotes the semi-latusrectum of the parabola

{y^2} = 4ax

SP

SQ

denote the segments of any focal chord

PQ,S

being the focus, then

SP,l

SQ

are in the relation