1
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation obtained by eliminating A and B from $$y=A \cos \omega t+B \sin \omega t$$

A
$$\frac{d^2 y}{d t^2}+\omega^2 y=0$$
B
$$\frac{\mathrm{d}^2 y}{\mathrm{dt}^2}+\omega \mathrm{y}^2=0$$
C
$$\frac{d^2 y}{d t^2}-\omega^2 y=0$$
D
$$\frac{d^2 y}{d t^2}-\omega y^2=0$$
2
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of a plane which passes through the points $$\mathrm{A}(2,2,2)$$ and making equal nonzero intercepts on the co-ordinate axes is

A
$$x+y+z=6$$
B
$$x-2 y+z=0$$
C
$$2 x+y+z=7$$
D
$$x-y+z=$$
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=x \tan y$$, then $$\frac{d y}{d x}=$$

A
$$\frac{\tan x}{x-y^2}$$
B
$$\frac{y}{x-x^2-y^2}$$
C
$$\frac{\tan x}{x-x^2-y^2}$$
D
$$\frac{\tan y}{y-x}$$
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^\pi \frac{1}{4+3 \cos x} d x=$$

A
1
B
$$\frac{\pi}{\sqrt7}$$
C
0
D
$$\frac{2}{\sqrt7}$$
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