1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The particular solution of the differential equation $$y\left(\frac{d x}{d y}\right)=x \log x$$ at $$x=e$$ and $$y=1$$ is

A
$$x y=2$$
B
$$x=e^y$$
C
$$e^{x y}=2$$
D
$$\log x=2 y$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\tan A+2 \tan 2 A+4 \tan 4 A+8 \cot 8 A=$$

A
$$\tan \mathrm{A}$$
B
$$\tan 2 A$$
C
$$\cot 2 \mathrm{~A}$$
D
$$\cot \mathrm{A}$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\begin{aligned} & \cos \left(36^{\circ}-A\right) \cos \left(36^{\circ}+A\right)+\cos \left(54^{\circ}+A\right) \cos \\ & \left(54^{\circ}-A\right)= \end{aligned}$$

A
$$\cos A$$
B
$$\cos 2 A$$
C
$$\sin A$$
D
$$\sin 2 A$$
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The pdf of a continuous r.v. $$X$$ is given by $$f(x)=\frac{x}{8}, 0 < x < 4=0$$, otherwise, then $$P(X \leq 2)$$ is

A
$$\frac{1}{4}$$
B
$$\frac{5}{16}$$
C
$$\frac{9}{16}$$
D
$$\frac{7}{16}$$
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