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

A die is thrown four times. The probability of getting perfect square in at least one throw is

A
$$\frac{58}{61}$$
B
$$\frac{16}{81}$$
C
$$\frac{65}{81}$$
D
$$\frac{23}{81}$$
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

For a $$3 \times 3$$ matrix $$\mathrm{A}$$, if $$\mathrm{A}(\operatorname{adj} \mathrm{A})=\left[\begin{array}{ccc}-10 & 0 & 0 \\ 0 & -10 & 2 \\ 0 & 0 & -10\end{array}\right]$$, then the value of determinant of A is

A
100
B
$$-$$1000
C
$$-$$10
D
20
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

In any $$\triangle A B C$$, with usual notations, $$c(a \cos B-b \cos A)=$$

A
$$a^2-b^2$$
B
$$\frac{1}{a^2}-\frac{1}{b^2}$$
C
$$a^2+b^2$$
D
$$\frac{1}{\mathrm{a}^2}+\frac{1}{\mathrm{~b}^2}$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If in a $$\triangle A B C$$, with usual notations, $$\mathrm{a}^2, \mathrm{~b}^2, \mathrm{c}^2$$ are in A.P. then $$\frac{\sin 3 B}{\sin B}=$$

A
$$\frac{a^2-c^2}{2 a c}$$
B
$$\left(\frac{a^2-c^2}{2 a c}\right)^2$$
C
$$\frac{\mathrm{a}^2-\mathrm{c}^2}{\mathrm{ac}}$$
D
$$\left(\frac{a^2-c^2}{a c}\right)^2$$
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