JEE MATHEMATICS MCQ: PARABOLA

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Application +4 | -1

The set of positive value of

m

for which a line with slope

m

is a comon tangent to ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

and parabola

y^2=4 a x

is given by

View answer and explanation

Correct option: C

(0,1)

Option C ((0,1)) is correct because it represents the set of positive values of m for which a line with slope m is a common tangent to the given ellipse and parabola.

More Questions from PARABOLA

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The equation of a common tangent to the parabolas

y=x^2

and

y=-(x-2)^2

is A point

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

, is Let

P,Q,R

be three points on parabola

{y^2} = 4x

and normal at

P

and

R

meet at

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

is If

I

denotes the semi-latusrectum of the parabola

{y^2} = 4ax

and

SP

and

SQ

denote the segments of any focal chord

PQ,S

being the focus, then

SP,l

and

SQ

are in the relation