JEE Main 2020 — Parabola Questions with Solutions

The centre of the circle passing through the point 0 ,   1 and touching the parabola y = x 2 at the point 2 , &#16…

If y = m x + 4 is a tangent to both the parabolas, y 2 = 4 x and x 2 = 2 b y , then b is equal to

If one end of a focal chord A B of the parabola y 2 = 8 x is at A 1 2 , - 2 , then the equation of the tangent to it at…

Let a line y = m x m > 0 , intersect the parabola, y 2 = x , at a point P , other than the origin. Let the tangent…

Let the latus rectum of the parabola y 2 = 4 x be the common chord to the circles C 1 and C 2 each of them having radiu…

The locus of a point which divides the line segment joining the point 0 , - 1 and a point on the parabola x 2 = 4 y int…

The area (in sq. units) of an equilateral triangle inscribed in the parabola y 2 = 8 x , with one of its vertices on th…

For a > 0 , let the curves C 1 : y 2 = a x and C 2 : x 2 = a y intersect at origin O and a point P . Let the line x…

Let P be a point on the parabola, y 2 = 12 x and N be the foot of the perpendicular drawn from P , on the axis of the p…

If the common tangent to the parabolas, y 2 = 4   x   a n d   x 2 = 4   y also touches the circle,…