16 JEE Main 2021 Ellipse previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 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.
A ray of light through 2 , 1 is reflected at a point P on the y - axis and then passes through the point 5 , 3 . If thi…
Let a tangent be drawn to the ellipse x 2 27 + y 2 = 1 at ( 3 3 cos θ , sin θ ) where θ ∈ 0 , `…
Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its centre at 3 , - 4 , one focus at 4 , -…
Let an ellipse E : x 2 a 2 + y 2   b 2 = 1 , a 2 > b 2 , passes through 3 2 , 1 and has eccentricity 1 3 . If…
Let L be a tangent line to the parabola y 2 = 4 x - 20 at 6 ,   2 . If L is also a tangent to the ellipse x 2 2 +…
If the curve x 2 + 2 y 2 = 2 intersects the line x + y = 1 at two points P and Q , then the angle subtended by the line…
If a tangent to the ellipse x 2 + 4 y 2 = 4 meets the tangents at the extremities of its major axis at B and C , then t…
Let θ be the acute angle between the tangents to the ellipse x 2 9 + y 2 1 = 1 and the circle x 2 + y 2 = 3 at the…
The line 12 x   cos θ + 5 y   sin θ = 60 is tangent to which of the following curves ?
If the points of intersection of the ellipse x 2 16 + y 2   b 2 = 1 and the circle x 2 + y 2 = 4   b ,  …
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