JEE MATHEMATICS MCQ: PARABOLA

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Analyzing +4 | -1

Statement-1: The line

x-2 y=2

meets the parabola,

y^{2}+2 x=0

only at the point

(-2,-2)

.

Statement-2: The line

y=m x-\frac{1}{2 m}(m \neq 0)

is tangent to the parabola,

y^{2}=-2 x

at the point

\left(-\frac{1}{2 m^{2}},-\frac{1}{m}\right)

View answer and explanation

Correct option: B

Statement-1 is true; Statement-2 is true; Statement-2 is a correct explanation for statement-1.

Option B (Statement-1 is true; Statement-2 is true; Statement-2 is a correct explanation for statement-1) is correct because the line intersects the parabola at only one point, and the general tangent equation is correctly stated.

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