1
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If amplitude of $$(z-2-3 i)$$ is $$\frac{3 \pi}{4}$$, then locus of $$z$$ is (where $$z=x+i y$$)

A
$$x+y=1$$
B
$$x+y=5$$
C
$$x-y=-5$$
D
$$x-y=1$$
2
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair coin is tossed 100 times. The probability of getting a head for even number of times is

A
$$\frac{1}{2}$$
B
$$\frac{3}{8}$$
C
$$\frac{1}{8}$$
D
$$\frac{3}{4}$$
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\int \frac{\sqrt{x}}{x(x+1)} d x=k \tan ^{-1} m+c$$, (where c is constant of integration), then

A
$$k=1, m=\sqrt{x}$$
B
$$k=2, m=\sqrt{x}$$
C
$$\mathrm{k}=1, \mathrm{~m}=\mathrm{x}$$
D
$$\mathrm{k}=2, \mathrm{~m}=\mathrm{x}$$
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of tangent to the curve $$y=\sqrt{2} \sin \left(2 x+\frac{\pi}{4}\right)$$ at $$x=\frac{\pi}{4}$$, is

A
$$2 x+y-\frac{\pi}{2}-1=0$$
B
$$2 x-y-\frac{\pi}{2}+1=0$$
C
$$x+y-\frac{\pi}{2}-1=0$$
D
$$x-y-\frac{\pi}{2}+1=0$$
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