1
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The statement pattern $p \wedge(q \vee \sim p)$ is equivalent to

A
$p \wedge q$
B
$q \wedge \sim p$
C
$p \vee q$
D
$p \rightarrow q$
2
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The LPP to maximize $Z=x+y$, subject to $x+y \leq 1,2 x+2 y \geq 6, x \geq 0, y \geq 0$ has

A
infinite solutions
B
one solution
C
no solution
D
two solutions
3
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of the region bounded by the curve $y=\sin x$ between $x=-\pi$ and $x=\frac{3 \pi}{2}$ is

A
1 (unit) ${ }^2$
B
3 (unit) ${ }^2$
C
5 (unit) ${ }^2$
D
$2(\text { unit })^2$
4
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of a plane containing the point $(1,-1,2)$ and perpendicular to the planes $2 x+3 y-2 z=5$ and $x+2 y-3 z=8$ is

A
$r(4 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})=15$
B
$\mathbf{r}(5 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})=5$
C
$\mathbf{r}(5 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-\hat{\mathbf{k}})=5$
D
$\mathbf{r}(5 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-\hat{\mathbf{k}})=7$
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