MHT CET 2021 23th September Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

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If $$\int \frac{\sin x}{\sin (x-\alpha)} d x=A x+B \log \sin (x-\alpha)+c$$, then the value of A and B are respectively (where $$\mathrm{c}$$ is a constant of integration)

$$\cos \alpha, \sin \alpha$$

$$\sin \alpha, \cos \alpha$$

$$-\cos \alpha, \sin \alpha$$

$$-\sin \alpha, \cos \alpha$$

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

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The probability distribution of the number of doublets in four throws of a pair of dice is given by

$$\mathrm{X}$$	0	1	2	3	4
$$\mathrm{P(X) :}$$	$$\frac{1}{5}$$	$$\frac{1}{5}$$	$$\frac{1}{5}$$	$$\frac{1}{5}$$	$$\frac{1}{5}$$

$$\mathrm{X}$$	0	1	2	3
$$\mathrm{P(X) :}$$	$$\frac{1}{4}$$	$$\frac{1}{4}$$	$$\frac{1}{4}$$	$$\frac{1}{4}$$

$$\mathrm{X}$$	1	2	3	4
$$\mathrm{P(X) :}$$	$$\frac{1}{4}$$	$$\frac{1}{4}$$	$$\frac{1}{4}$$	$$\frac{1}{4}$$

$$\mathrm{X}$$	0	1	2	3	4
$$\mathrm{P(X) :}$$	$$\frac{625}{1296}$$	$$\frac{125}{324}$$	$$\frac{25}{216}$$	$$\frac{5}{324}$$	$$\frac{1}{1296}$$

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

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Let $$\vec{v}=2 \hat{i}+2 \hat{j}-\hat{k}$$ and $$\bar{w}=\hat{i}+3 \hat{k}$$. If $$\bar{u}$$ is a unit vector, then the maximum value of the scalar triple product $$[\bar{u} \bar{v} \bar{w}]$$ is

$$\sqrt{6}$$

$$\sqrt{10}$$

$$\sqrt{13}$$

$$\sqrt{89}$$

MHT CET 2021 23th September Morning Shift

MCQ (Single Correct Answer)

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S1 : If $$-$$7 is an integer, then $$\sqrt{-7}$$ is a complex number

$$\mathrm{S} 2$$ : $$-$$7 is not an integer or $$\sqrt{-7}$$ is a complex number

S1 and S2 are converse statements of each other

S1 and S2 are negations of each other

S1 and S2 are equivalent statements