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 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$z=x+iy$$ satisfies the condition $$|z+1|=1$$, then $$z$$ lies on the

A
parabola with vertex $$(0,0)$$
B
circle with centre $$(-1,0)$$ and radius 1
C
circle with centre $$(1,0)$$ and radius 1
D
Y-axis
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\omega$$ is the complex cube root of unity, then $$\left(3+5 \omega+3 \omega^2\right)^2+\left(3+3 \omega+5 \omega^2\right)^2=$$

A
$$-$$1
B
0
C
4
D
$$-$$4
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$x=1+2 i$$, then the value of $$x^3+7 x^2-x+16$$ is

A
$$\mathrm{-17-24 ~i}$$
B
$$\mathrm{-17+24 ~i}$$
C
$$17-24 ~\mathrm{i}$$
D
$$17+24 ~\mathrm{i}$$
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