1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

General solution of the differential equation $$\cos x(1+\cos y) \mathrm{d} x-\sin y(1+\sin x) \mathrm{d} y=0$$ is

A
$$(1+\cos x)(1+\sin y)=\mathrm{c}$$, where $$\mathrm{c}$$ is a constant of integration.
B
$$1+\sin x+\cos y=\mathrm{c}$$, where $$\mathrm{c}$$ is a constant of integration.
C
$$(1+\sin x)(1+\cos y)=\mathrm{c}$$, where $$\mathrm{c}_{\text {is }}$$ constant of integration.
D
$$1+\sin x \cos y=\mathrm{c}$$, where $$\mathrm{c}$$ is a constant of integration.
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observations is

A
5
B
10
C
4
D
20
3
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The statement $$[(p \rightarrow q) \wedge \sim q] \rightarrow r$$ is tautology, when $$r$$ is equivalent to

A
$$\mathrm{p} \wedge \sim \mathrm{q}$$
B
$$q \vee p$$
C
$$\mathrm{p} \wedge \mathrm{q}$$
D
$$\sim q$$
4
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The solution set of the inequalities $$4 x+3 y \leq 60, y \geq 2 x, x \geq 3, x, y \geq 0$$ is represented by region

MHT CET 2023 14th May Morning Shift Mathematics - Linear Programming Question 48 English

A
$$\mathrm{S}_2$$ region
B
$$\mathrm{S}_1$$ region
C
$$\mathrm{S}_3$$ region
D
$$\mathrm{S}_4$$ region
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