1
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The common region of the solution of the inequations $$x+y \geq 5, y \leq 4, x \geq 2, x, y \geq 0$$ is

A
unbounded and non-origin side
B
unbounded and origin side
C
bounded and origin side
D
bounded and non-origin side
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the mean and variance of a binomial distribution are 4 and 2 respectively, then probability of getting 2 heads is

A
$$\frac{28}{256}$$
B
$$\frac{37}{256}$$
C
$$\frac{128}{256}$$
D
$$\frac{219}{256}$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The vector equation of the line whose Cartesian equations are $$y=2$$ and $$4 x-3 z+5=0$$ is

A
$$\overline{\mathrm{r}}=(2 \hat{\mathrm{j}}+5 \hat{\mathrm{k}})+\lambda(4 \hat{\mathrm{i}}-3 \hat{\mathrm{k}})$$
B
$$\bar{r}=\left(2 \hat{j}-\frac{5}{3} \hat{k}\right)+\lambda(3 \hat{i}+4 \hat{k})$$
C
$$\bar{r}=\left(2 \hat{j}-\frac{5}{3} \hat{k}\right)+\lambda(3 \hat{i}-4 \hat{k})$$
D
$$\overline{\mathrm{r}}=\left(2 \hat{\mathrm{j}}+\frac{5}{3} \hat{\mathrm{k}}\right)+\lambda(3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}})$$
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$x^y \cdot y^x=16$$, then $\frac{d y}{d x}$ at $(2,2)$$ is

A
$$-$$1
B
0
C
1
D
2
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