1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$z$$ be a complex number such that $$|z|+z=3+i, i=\sqrt{-1}$$, then $$|z|$$ is equal to

A
$$\frac{5}{4}$$
B
$$\frac{5}{3}$$
C
$$\frac{\sqrt{34}}{3}$$
D
$$\frac{\sqrt{41}}{4}$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{\frac{3+2i}{1+i}=\frac{1}{2}(x+iy)}$$, then x $$-$$ y =

A
4
B
3
C
6
D
5
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The sqaure roots of the complex number $$(-5-12 \mathrm{i})$$ are

A
$$\pm(2-3 i)$$
B
$$\pm(3+2 \mathrm{i})$$
C
$$\pm(2+3 i)$$
D
$$\pm(3-2 \mathrm{i})$$
4
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
$$x-y=1$$
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