JEE MATHEMATICS MCQ: PARABOLA

1 Medium

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Application +4 | -1

If two tangents drawn from a point

P

to the parabola

{y^2} = 4x

be such that the slope of one tangent is double of the other, then

P

lies on the curve

View answer and explanation

Correct option: B

9x = 2{y^2}

Option D (None of these) is correct because the calculated common tangent does not match any of the provided options after correctly determining the value of m.

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