1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The area of the region bounded by the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is
A
$\pi a b$ sq units
B
$\pi^2 a b$ sq units
C
$\pi a^2 b$ sq units
D
$\pi a b^2$ sq units
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The radius of the circle passes through the foci of a conic $\frac{x^2}{16}+\frac{y^2}{9}=1$ and has its centre at $(0,3)$, then the diameter of the circle is ---
A
7 units
B
$2 \sqrt{12}$ units
C
8 units
D
4 units
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is
A
$\frac{\sqrt{5}+1}{2}$
B
$\frac{1-\sqrt{5}}{2}$
C
$\frac{\sqrt{5}-1}{2}$
D
$\frac{1 \pm \sqrt{5}}{2}$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The area of the region enclosed by the curve }\left\{(x, y): 4 x^2+25 y^2=100\right\} \text { is } $$

A
$$ \frac{16 \pi}{3} \text { sq units } $$
B
$$9 \pi$$ sq units
C
$$10 \pi$$ sq units
D
$$ \frac{9 \pi}{5} \text { sq units } $$
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