1
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of the differential equation $\cos (x+y) d y=d x$ is

A

$y=\tan \left(\frac{x+y}{2}\right)+C$

B

$y=\sec \left(\frac{x+y}{2}\right)+C$

C

$y=x \sec \left(\frac{y}{x}\right)+C$

D

$y=-\cos ^{-1}\left(\frac{y}{x}\right)+C$

2
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A x^3+B x y=4$ ( $A$ and $B$ are arbitrary constants) is the general solution of the differential equation $F(x) \frac{d^2 y}{d x^2}+G(x) \frac{d y}{d x}-2 y=0$, then $F(l)+G(l)=$

A

1

B

0

C

4

D

9

3
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The physical quantity having the dimensions of the square root of the ratio of the kinetic energy and surface tension is

A

distance

B

time

C

temperature

D

mass

4
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the displacement ( $s$ in metre) of a moving particle in terms of time $(t$ in second $) s=t^3-6 t^2+18 t+9$, then the minimum velocity attained by the particle is

A

$29 \mathrm{~ms}^{-1}$

B

$5 \mathrm{~ms}^{-1}$

C

$6 \mathrm{~ms}^{-1}$

D

$12 \mathrm{~ms}^{-1}$