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

If $$\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{c}=\hat{j}-\hat{k}, \vec{a} \times \bar{b}=\bar{c}$$ and $$\vec{a} \cdot \vec{b}=1$$, then $$\vec{b}$$

A
$$\hat{\mathrm{i}}$$
B
$$-\hat{i}$$
C
$$\hat{j}$$
D
$$\hat{\mathrm{k}}$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Equation of the plane passing through the point $$(1,2,3)$$ and parallel to the plane $$2 x+3 y-4 z=0 $$

A
$$2 x+3 y+4 z-8=0$$
B
$$2 x+3 y-4 z+4=0$$
C
$$2 x+3 y+4 z+4=0$$
D
$$2 x+3 y+4 z=20$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The negation of $$p \wedge(q \rightarrow r)$$ is

A
$$\sim p \wedge(\sim q \rightarrow \sim r)$$
B
$$\sim \mathrm{p} \vee(\mathrm{q} \wedge \sim \mathrm{r})$$
C
$$\sim \mathrm{p} \vee(\sim \mathrm{q} \rightarrow \sim \mathrm{r})$$
D
$$\mathrm{p} \vee(\sim \mathrm{p} \vee \mathrm{r})$$
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