1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two dice are thrown simultaneously. If X denotes the number of sixes, then the expectation of X is

A
3
B
2
C
$$\frac{1}{3}$$
D
$$\frac{2}{3}$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$G(3,-5, r)$$ is the centroid of $$\triangle A B C$$, where $$A \equiv(7,-8,1), B \equiv(p, q, 5), C \equiv(q+1,5 p, 0)$$ are vertices of the triangle $$A B C$$, then the values of $$p, q, r$$ are respectively

A
$$-2,3,2$$
B
$$-4,5,4$$
C
$$6,5,4$$
D
$$2,-2,3$$
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The acute angle between the lines $$\left(x^2+y^2\right) \sin \theta+2 x y=0$$ is

A
$$\theta$$
B
$$\frac{\pi}{2}+\theta$$
C
$$\frac{\pi}{2}-\theta$$
D
$$\frac{\theta}{2}$$
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

For any non-zero vectors $$\bar{a}, \bar{b}, \bar{c}$$, the value of $$\bar{a} \cdot[(\bar{b} \times \bar{c}) \times(\bar{a}+\bar{b}+\bar{c})]$$ is

A
$$2[\bar{a} \bar{b} \bar{c}]$$
B
$$[\bar{a} \bar{b} \bar{c}]$$
C
$$[\bar{a} \bar{c} \bar{b}]$$
D
0
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