10 JEE Main 2020 Ellipse previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2020 previous-year questions from the Ellipse chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Ellipse chapter hub.
If the point P on the curve, 4 x 2 + 5 y 2 = 20 is farthest from the point Q 0 , - 4 , then P Q 2 is equal to
If 3 x + 4 y = 12 2 is a tangent o the ellipse x 2 a 2 + y 2 9 = 1 for some a ∈ R , then the distance between the…
Let the line y = m x and the ellipse 2 x 2 + y 2 = 1 intersect at a point P in the first quadrant. If the normal to thi…
If the distance between the foci of an ellipse is 6 and the distance between its directrix is 12 , then the length of i…
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, x 2…
Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is 1 2 . If P ( 1 , β )…
The length of the minor axis (along y -axis) of an ellipse in the standard form is 4 3 . If this ellipse touches the li…
If the normal at an end of latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentric…
If the co-ordinates of two points A and B are ( 7 , 0 ) and ( - 7 , 0 ) respectively and P is any point on the conic, 9…
Let x 2 a 2 + y 2 b 2 = 1 a > b be a given ellipse, length of whose latus rectum is 10 . If its eccentricity is the…