Back to PARABOLA

JEE MATHEMATICS MCQ: PARABOLA

1 Easy

1 of 1

Analyzing +4 | -1

The set of real values of '

a

' for which at least one tangent to

y^2=4 a x

becomes normal to the circle

x^2+y^2-2 a x-4 a y+3 a^2=0

, is

View answer and explanation

Correct option: C

R

Option C (R) is correct because the condition for the tangent to be normal to the circle is satisfied for all real values of 'a'.

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