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

If $$[\bar{a} \bar{b} \bar{c}]=4$$, then the volume (in cubic units) of the parallelopiped with $$\bar{a}+2 \bar{b}, \bar{b}+2 \bar{c}$$ and $$\overline{\mathrm{c}}+2 \overline{\mathrm{a}}$$ as coterminal edges, is

A
32
B
16
C
9
D
36
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The variance of the following probability distribution is,

MHT CET 2021 20th September Evening Shift Mathematics - Probability Question 57 English

A
$$\frac{1}{8}$$
B
$$\frac{5}{8}$$
C
$$\frac{1}{4}$$
D
$$\frac{3}{8}$$
3
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
$$\cos x \cdot \cos y=c$$
4
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
$$\frac{\pi}{6}$$
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