1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $\left(\sin y \cos ^2 y-x \sec ^2 y\right) d y=(\tan y) d r$, is
A
$\tan y=3 x \cos ^3 y+c$
B
$x(\sec y+\tan y)=\cos ^2 y+c$
C
$y \sin y=x^2 \cos ^2 y+c$
D
$3 x \tan y+\cos ^3 y=c$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $(x-y-1) d y=(x+y+1) d x$ is
A
$\tan ^{-1}\left(\frac{y+1}{x}\right)-\frac{1}{2} \log \left(x^2+y^2+2 y+1\right)=0$
B
$(x-y)+\log (x+y)=c$
C
$y^2-x^2+x y-3 y-x=c$
D
$(x-y-1)^2(x+y+1)^3=c$
3
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Match the following.
(a) Thermal conductivity (i) $\left[\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\right]$
(b) Boltzmann constant (ii) $\left[M^0 L^2 T^{-2} K^{-1}\right]$
(c) Latent heat (iii) $\left[M L^2 T^{-2} K^{-1}\right]$
(d) Specific heat (iv) $\left[M^0 L^2 T^{-2}\right]$
A
$a-i, b-iii, c-iv, d-ii$
B
$a-i, b-ii, c-iv, d-iii$
C
$a-iii, b-ii, c-i, d-iv$
D
$a-ii, b-i, c-iii, d-iv$
4
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Object is projected such that it has to attain maximum range. Another body is projected to reach maximum heigh. If both the objects reached the same maximum height, then the ratio of initial velocities
A
$2: 1$
B
$\sqrt{2} : 1$
C
$1: \sqrt{2}$
D
$1: 2$
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