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

$$\begin{aligned} & \text { If } f(x)=\left[\tan \left(\frac{\pi}{4}+x\right)\right]^{\frac{1}{x}}, \quad x \neq 0 \\ & =k \text {, } \qquad x=0 \text { is continuous }\\ & x=0 \end{aligned}$$ Then $k=$

A
$e^2$
B
1
C
$e$
D
$e^{-2}$
2
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
$\cos (\pi x)$
3
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
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, 0$
4
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
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