1
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
$[\mathrm{a} \mathrm{c}\mathrm{b}]$
2
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
$[2,3]$
3
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
$\frac{1}{2}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $z=a x+b y ; a, b>0$ subject to $x \leq 2, y \leq 2, x+y \geq 3, x \geq 0, y \geq 0$ has minimum value at $(2,1)$ only, then......

A
$a>b$
B
$a=b$
C
$a< b$
D
$a=1+b$
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