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1
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

If the two ends of the major axis of an ellipse are $(5,0)$ and $(-5,0)$ and one focus lies on the line $3 x-5 y-9=0$, then its equation is

A

$\frac{x^2}{16}+\frac{y^2}{25}=1$

B

$\frac{x^2}{25}+\frac{y^2}{34}=1$

C

$\frac{x^2}{25}+\frac{y^2}{16}=1$

D

$\frac{x^2}{25}+\frac{y^2}{9}=1$

2
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The length of the latus rectum of the curve represented by $x=3(\cos t+\sin t)$ and $y=4(\cos t-\sin t)$ is:

A

$\frac{32 \sqrt{2}}{3}$

B

$9 \sqrt{2}$

C

$\frac{9}{\sqrt{2}}$

D

$\frac{9}{2}$

3
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
4
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
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