8 JEE Main 2024 Ellipse previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2024 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.
Let P be a point on the ellipse x 2 9 + y 2 4 = 1 . Let the line passing through P and parallel to y - axis meet the ci…
If the points of intersection of two distinct conics x 2 + y 2 = 4 b and x 2 16 + y 2 b 2 = 1 lie on the curve y 2 = 3…
Let f(x)=x²+9, g(x)=(x)/(x-9) and a=f ° g(10), b=g ° f(3). If e and l denote the eccentricity and the length of the lat…
Let the line 2 x+3 y-k=0, k>0, intersect the x-axis and y-axis at the points A and B, respectively. If the equation of…
The length of the chord of the ellipse x 2 25 + y 2 16 = 1 , whose mid point is 1 , 2 5 , is equal to:
Let A ( α , 0 ) and B ( 0 , β ) be the points on the line 5 x + 7 y = 50 . Let the point P divide the line segment A B…
If the length of the minor axis of ellipse is equal to half of the distance between the foci, then the eccentricity of…
Let P be a parabola with vertex 2 , 3 and directrix 2 x + y = 6 . Let an ellipse E : x 2 a 2 + y 2 b 2 = 1 , a > b of e…