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

Which of the following can not be the direction cosines of a line?

A
$\sqrt{\frac{1}{5}},-\sqrt{\frac{1}{2}}, \sqrt{\frac{3}{10}}$
B
$\frac{1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}, \frac{1}{\sqrt{3}}$
C
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}$
D
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, 0$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $A, B, C$ are $p^{\text {th }}, q^{\text {th }}$ and $r^{\text {th }}$ terms of a GP respectively then $A^{q-r} \cdot B^{r-p} \cdot C^{p-q}=\ldots \ldots$

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

$$\int_{\frac{\pi}{18}}^{\frac{4 \pi}{9}} \frac{2 \sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x=\ldots \ldots$$

A
$\frac{7 \pi}{36}$
B
$\frac{5 \pi}{36}$
C
$\frac{7 \pi}{18}$
D
$\frac{5 \pi}{18}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of $Z=5 x+4 y$, Subject to $y \leq 2 x, x \leq 2 y, x+y \leq 3, x \geq 0, y \geq 0$ is ........

A
14
B
12
C
13
D
18
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