JEE Main 2022 — Ellipse Questions with Solutions

Let the maximum area of the triangle that can be inscribed in the ellipse x 2 a 2 + y 2 4 = 1 , a > 2 , having one…

The acute angle between the pair of tangents drawn to the ellipse 2 x 2 + 3 y 2 = 5 from the point 1 , 3 is

Let S = x , y ∈ ℕ × ℕ : 9 x - 3 2 + 16 y - 4 2 ≤ 144 and T = x , y ∈ ℝ ×…

Let the tangents at the points P and Q on the ellipse x 2 2 + y 2 4 = 1 meet at the point R 2 , 2 2 - 2 . If S is the f…

Let the eccentricity of an ellipse x 2 a 2 + y 2 b 2 = 1 , a > b , be 1 4 . If this ellipse passes through the poin…

If the ellipse x 2 a 2 + y 2 b 2 = 1 meets the line x 7 + y 2 6 = 1 on the x -axis and the line x 7 - y 2 6 = 1 on the…

If the length of the latus rectum of the ellipse x 2 + 4 y 2 + 2 x + 8 y - λ = 0 is 4 , and l is the length of its…

If m is the slope of a common tangent to the curves x 2 16 + y 2 9 = 1 and x 2 + y 2 = 12 , then 12 m 2 is equal to

The line y = x + 1 meets the ellipse x 2 4 + y 2 2 = 1 at two points P and Q . If r is the radius of the circle with P…

Let P Q be a focal chord of the parabola y 2 = 4 x such that it subtends an angle of π 2 at the point 3 , 0 . Let…