JEE Main 2019 — Parabola Questions with Solutions

Let P 4 , - 4 and Q 9 , 6 be two points on the parabola, y 2 = 4 x and let X be any point on the arc P O Q of this para…

If the area of the triangle whose one vertex is at the vertex of the parabola, y²+4 (x-a² )=0 and the other two vertice…

Axis of a parabola lies along x -axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, o…

Let A 4 , - 4 and B 9 , 6 be points on the parabola, y 2 = 4 x . Let C be chosen on the arc A O B of the parabola, wher…

The area (in sq. units) of the smaller of the two circles that touch the parabola, y 2 = 4 x at the point 1 ,   2…

If the line a x + y = c , touches both the curves x 2 + y 2 = 1 and y 2 = 4 2 x , then c is equal to:

The length of the chord of the parabola x 2 = 4 y having equation x - 2 y + 4 2 = 0 is

Equation of a common tangent to the circle, x 2 + y 2 - 6 x = 0 and the parabola, y 2 = 4 x is:

If one end of a focal chord of the parabola, y 2 = 16 x is at 1 , 4 , then the length of this focal chord is

The tangents to the curve y = x - 2 2 - 1 at its points of intersection with the line x - y = 3 , intersect at the poin…