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

The direction ratios of the normal to the plane passing through origin and the line of intersection of the planes $x+2 y+3 z=4$ and $4 x+3 y+2 z=1$ are $\ldots \ldots$

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

$$\begin{aligned} &\text { The pdf of a random variable } X \text { is }\\ &\begin{aligned} f(x) & =3\left(1-2 x^2\right), & & 0< x<1 \\ & =0 & & \text { otherwise } \end{aligned} \end{aligned}$$

The $P\left(\frac{1}{4}< x<\frac{1}{3}\right)=\ldots$

A
$\frac{179}{864}$
B
$\frac{159}{864}$
C
$\frac{169}{864}$
D
$\frac{189}{864}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The eccentricity of the hyperbola $25 x^2-9 y^2=225$ is .......

A
$\frac{\sqrt{34}}{3}$
B
4
C
$\sqrt{34}$
D
$\frac{\sqrt{34}}{5}$
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