1
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
$$2^{19}$$
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y^2=x$$, the straight line $$y=4$$ and $$Y$$ axis is

A
$$2 \sqrt{7}$$ sq. units
B
$$\frac{64}{3}$$ sq. units
C
$$\frac{16}{3}$$ sq. units
D
$$7 \sqrt{2}$$ sq. units
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\sin ^{-1}\left(\frac{3}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\sin ^{-1} \alpha$$, then $$\alpha=$$

A
$$\frac{56}{65}$$
B
$$\frac{61}{65}$$
C
$$\frac{63}{65}$$
D
$$\frac{62}{65}$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\lim _\limits{x \rightarrow 5} \frac{x^k-5^k}{x-5}=500$$, then the value of $$k$$, where $$k \in N$$ is

A
5
B
3
C
4
D
6
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