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

The molar conductivities at infinite dilution for sodium acetate, HCl and NaCl are $91 \mathrm{~S} \mathrm{~cm}{ }^2$ $\mathrm{mol}^{-1}, 425.9 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ and $12.6 .4 \mathrm{~S} \mathrm{~cm}^2$ $\mathrm{mol}^{-1}$ respectively. The molar conductivity of acetic acid at infinite dilution is

A
$390.5 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
B
$530.9 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
C
$300.5 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
D
$930.5 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
2
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
3
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
4
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
$\frac{x^2}{16}+\frac{y^2}{9}=1$
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