1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of the differential equation $$\cos x \cdot \sin y d x+\sin x \cdot \cos y d y=0$$ is

A
$$\sin x+\sin y=c$$
B
$$\sin x \cdot \sin y=c$$
C
$$\cos x+\cos y=c$$
D
$$\cos x \cdot \cos y=c$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\overline{\mathrm{a}}, \overline{\mathrm{b}}$$ and $$\overline{\mathrm{c}}$$ are three vectors such that $$\overline{\mathrm{a}}+\overline{\mathrm{b}}+\overline{\mathrm{c}}=\overline{0}$$ and $$|\overline{\mathrm{a}}|=3,|\overline{\mathrm{b}}|=5,|\overline{\mathrm{c}}|=7$$, then the angle between $$\overline{\mathrm{a}}$$ and $$\bar{b}$$ is

A
$$\frac{\pi}{4}$$
B
$$\frac{\pi}{2}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{\pi}{6}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \sec ^4 x \cdot \tan ^4 x d x=\frac{\tan ^m x}{m}+\frac{\tan ^n x}{n}+c$$ (where c is constant of integration), then m + n =

A
8
B
12
C
10
D
16
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The x-intercept of a line passing through the points $$\left(\frac{-1}{2}, 1\right)$$ and (1, 2) is :

A
$$-1$$
B
$$-2$$
C
1
D
3
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