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

Which of the following function has period 2?

A
$\cos \left[\left(\frac{\pi}{3}\right) x\right]$
B
$\cos \left[\left(\frac{\pi}{2}\right) x\right]$
C
$\cos (2 \pi x)$
D
$\cos (\pi x)$
2
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
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, 0$
3
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
4
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
$\frac{5 \pi}{18}$
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