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

$$ \text { The degree of the differential equation } \sqrt{1+\left(\frac{d y}{d x}\right)^{1 / 3}}=\frac{d^2 y}{d x^2} \text { is: } $$

A

6

B

3

C

1

D

2

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

If $f(x)=x^3+\frac{3}{2} x^2+3 x+3$, then $f(x)$ is

A

Even function

B

Decreasing function

C

Increasing function

D

Odd function

3
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Let point Q be the image of point $P(2,-1)$ in the line $3 x+5=4 y$.

Find the area of the circle that has the segment PQ as the diameter.

A

$9 \pi$

B

$36 \pi$

C

$1.96 \pi$

D

$3 \pi$

4
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The foci of a hyperbola are the same as those of the ellipse with equation $9 x^2+16 y^2=144$.

If the length of the transverse axis of this hyperbola is $2 \cos \alpha$, then its equation is:

A

$$ \frac{x^2}{7-\cos ^2 \alpha}-\frac{y^2}{\cos ^2 \alpha}=1 $$

B

$$ \frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{7-\cos ^2 \alpha}=1 $$

C

$$ \frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{7+\cos ^2 \alpha}=1 $$

D

$$ \frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{5-\cos ^2 \alpha}=1 $$