1
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
$$17+24 ~\mathrm{i}$$
2
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
$$2^{19}$$
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The complex number with argument $$\frac{5 \pi^{\mathrm{c}}}{6}$$ at a distance of 2 units from the origin is

A
$$\sqrt{3}-\mathrm{i}$$
B
$$\sqrt{3}+\mathrm{i}$$
C
$$-\sqrt{3}-\mathrm{i}$$
D
$$-\sqrt{3}+\mathrm{i}$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\omega$$ is complex cube root of unity and $$(1+\omega)^7=A+B\omega$$, then values of A and B are, respectively

A
0, 1
B
1, 1
C
1, 0
D
$$-$$1, 1
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