1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$w=\frac{z}{z-\frac{1}{3} i}$$ and $$|w|=1, i=\sqrt{-1}$$, then $$z$$ lies on

A
circle.
B
line.
C
parabola.
D
ellipse.
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$Z_1=2+i$$ and $$Z_2=3-4 i$$ and $$\frac{\overline{Z_1}}{Z_2}=a+b i$$, then the value of $$-7 a+b$$ is (where $$i=\sqrt{-1}$$ and $$a, b \in R)$$

A
1
B
$$-$$1
C
$$\frac{-3}{25}$$
D
$$\frac{-9}{25}$$
3
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
4
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
$$2^{19}$$
MHT CET Subjects
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Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12