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

The probability that three cards drawn from a pack of 52 cards, all are red is

A
$\frac{1}{17}$
B
$\frac{4}{17}$
C
$\frac{3}{17}$
D
$\frac{2}{17}$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

For any non zero vector, a, b, c $\mathbf{a} \cdot[(\mathbf{b}+\mathbf{c}) \times(\mathbf{a}+\mathbf{b}+\mathbf{c})]=$ ..........

A
0
B
$2[a b c]$
C
$[a b c]$
D
$[\mathrm{a} \mathrm{c}\mathrm{b}]$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The domain of the real valued function $f(x)=\sqrt{\frac{x-2}{3-x}}$ is......

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

If $y=\tan ^{-1}\left(\frac{1-\cos 3 x}{\sin 3 x}\right)$, then $\frac{d y}{d x}=$ .......

A
$-\frac{3}{2}$
B
$-\frac{1}{2}$
C
$\frac{3}{2}$
D
$\frac{1}{2}$
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