1
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$Z_1=4 i^{40}-5 i^{35}+6 i^{17}+2, Z_2=-1+i$$, where $$i=\sqrt{-1}$$, then $$\left|Z_1+Z_2\right|=$$

A
5
B
13
C
12
D
15
2
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
$$\frac{\sqrt{41}}{4}$$
3
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
4
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
$$\pm(3-2 \mathrm{i})$$
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