1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of solutions of cos2$$\theta$$ = sin$$\theta$$ in (0, 2$$\pi$$) are

A
3
B
2
C
4
D
1
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\tan ^{-1}\left[\frac{1}{1+x+x^2}\right]+\tan ^{-1}\left[\frac{1}{x^2+3 x+3}\right], x>0$$, then $$\frac{d y}{d x}=$$

A
$$\frac{1}{1+x^2}-\frac{1}{1+(x+2)^2}$$
B
$$\frac{-1}{1+x^2}+\frac{1}{1+(x+2)^2}$$
C
$$\frac{1}{1+x^2}+\frac{1}{1+(x+2)^2}$$
D
$$\frac{-1}{1+x^2}-\frac{1}{1+(x+2)^2}$$
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$z(2-i)=(3+i)$$, then $$z^{38}=$$, ( where $$z=x+i y$$)

A
$$-\left(2^{19}\right) \mathrm{i}$$
B
$$2^{19}$$ i
C
$$-\left(2^{19}\right)$$
D
$$2^{19}$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y^2=x$$, the straight line $$y=4$$ and $$Y$$ axis is

A
$$2 \sqrt{7}$$ sq. units
B
$$\frac{64}{3}$$ sq. units
C
$$\frac{16}{3}$$ sq. units
D
$$7 \sqrt{2}$$ sq. units
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