1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The vector equation of the plane $\mathbf{r}=(2 \hat{\mathbf{i}}+\hat{\mathbf{k}})+\lambda(\hat{\mathbf{i}})+\mu(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}})$ in scalar product form is $\mathbf{r} \cdot(3 \hat{\mathbf{i}}+2 \hat{\mathbf{k}})=\alpha$, then $\alpha=\ldots$

A
2
B
3
C
1
D
0
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

. Area of the region bounded by $y=\cos x, x=0$, $x=\pi$ and $X$-axis is ... sq. units.

A
3
B
1
C
2
D
4
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of the latusrectum of an ellipse is $\frac{18}{5}$ and eccentricity is $\frac{4}{5}$, then equation of the ellipse is .....

A
$\frac{x^2}{25}+\frac{y^2}{8}=1$
B
$\frac{x^2}{25}+\frac{y^2}{9}=1$
C
$\frac{\dot{x}^2}{25}+\frac{y^2}{16}=1$
D
$\frac{x^2}{16}+\frac{y^2}{9}=1$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$ and $b:(p \vee s) \leftrightarrow(q \wedge r)$. If the truth values of $p$ and $q$ are true and that of $r$ and $s$ are false, then the truth values of $a$ and $b$ are respectively......

A
F, F
B
T, T
C
T, F
D
F, T
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