JEE Main 2019 — Ellipse Questions with Solutions

Let O 0,0 and A 0,1 be two fixed points. Then, the locus of a point P such that the perimeter of Δ A O P is 4 is

If the normal to the ellipse 3 x 2 + 4 y 2 = 12 at a point P on it is parallel to the line, 2 x + y = 4 and the tangent…

If the tangent to the parabola y 2 = x at a point α , β , β > 0 is also a tangent to the ellipse, x…

If the line x - 2 y = 12 is a tangent to the ellipse x 2 a 2 + y 2 b 2 = 1 at the point 3 , - 9 2 , then the length of…

Let the length of the latus rectum of an ellipse with its major axis along x -axis and centre at the origin, be 8 . If…

In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one o…

An ellipse, with foci at 0,2 and 0 , - 2   and minor axis of length 4 , passes through which of the following poin…

Let S = x , y ∈ R 2 : y 2 1 + r - x 2 1 - r = 1 , where r ≠ ± 1 . Then S represents:

The tangent and normal to the ellipse 3 x 2 + 5 y 2 = 32 at the point P 2 ,   2 meet the x -axis at Q and R , resp…

If the tangents on the ellipse 4 x 2 + y 2 = 8 at the points 1,   2 and ( a ,   b ) are perpendicular to each…