Ellipse · Mathematics · NDA
MCQ (Single Correct Answer)
1
If any point on an ellipse is (3sin$\alpha$, 5cos$\alpha$), then what is the eccentricity of the ellipse?
NDA Mathematics 13 April 2025
2
The foci of the ellipse 4x2 + 9y2 = 1 are at Q and R. If P(x, y) is any point on the ellipse, then what is PQ + PR equal to?
NDA Mathematics 1st September 2024
3
What is the eccentricity of the ellipse if the angle between the straight lines joining the foci to an extremity of the minor axis is 90°?
NDA Mathematics 21 April 2024
4
What is PE + PF equal to ?
NDA Mathematics 16 April 2023
5
Consider the following points :
1. $\left(\frac{\sqrt{3}}{2}, 0\right)$
2. $\left(\frac{\sqrt{3}}{2}, \frac{1}{4}\right)$
3. $\left(\frac{\sqrt{3}}{2},-\frac{1}{4}\right)$
Which of the above points lie on latus rectum of ellipse ?
NDA Mathematics 16 April 2023
6
The centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through (3, 2) and (1, 6), then what is its eccentricity ?
NDA Mathematics 4 September 2022
7
What is the distance between the foci of the ellipse x2 + 2y2 = 1 ?
NDA Mathematics 10 April 2022