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

The polar co-ordinates of $P$ are $\left(2, \frac{\pi}{6}\right)$. If $Q$ is the image of $P$ about the $X$-axis then the polar co-ordinates of $Q$ are.....̣...

A
$\left(2, \frac{5 \pi}{6}\right)$
B
$\left(2, \frac{\pi}{6}\right)$
C
$\left(2, \frac{\pi}{3}\right)$
D
$\left(2, \frac{11 \pi}{6}\right)$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$\mathbf{a}$ and $\mathbf{b}$ are non-collinear vectors. If $\mathbf{c}=(x-2) \mathbf{a}+\mathbf{b}$ and $\mathbf{d}=(2 x+1) \mathbf{a}-\mathbf{b}$ are collinear vectors, then the value of $x=\ldots \ldots$

A
$\frac{1}{2}$
B
$\frac{1}{4}$
C
$\frac{1}{5}$
D
$\frac{1}{3}$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $X$ be the number of successes in ' $n$ ' independent Bernoulli trials with probability of success $p=\frac{3}{4}$. The least value of ' $n$ ' so that $P(X \geq 1) \geq 0.9375$ is ......

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

The slope of normal to the curve $x=\sqrt{t}$ and $y=t-\frac{1}{\sqrt{t}}$ at $t=4$ is ..........

A
$\frac{-17}{4}$
B
$\frac{4}{17}$
C
$\frac{-4}{17}$
D
$\frac{17}{4}$
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