MHT CET 2021 21th September Evening Shift | MHT CET Year Wise Previous Years Questions

The equation of a line passing through $$(3,-1,2)$$ and perpendicular to the lines $$\bar{r}=(\hat{i}+\hat{j}-\hat{k})+\lambda(2 \hat{i}-2 \hat{j}+\hat{k})$$ and $$\bar{r}=(2 \hat{i}+\hat{j}-3 \hat{k})+\mu(\hat{i}-2 \hat{j}+2 \hat{k})$$ is

$$\frac{x-3}{2}=\frac{y+1}{3}=\frac{z-2}{2}$$

$$\frac{x-3}{3}=\frac{y+1}{2}=\frac{z-2}{2}$$

$$\frac{x+3}{2}=\frac{y+1}{3}=\frac{z-2}{2}$$

$$\frac{x-3}{2}=\frac{y+1}{2}=\frac{z-2}{3}$$

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

-0

$$\begin{aligned} & \text { } f(x)=\frac{\sqrt{1+p x}-\sqrt{1-p x}}{x} \text {, if } 1 \leq x<0 \\ & =\frac{2 x+1}{x-2} \quad \text {, if } 0 \leq x \leq 1 \\ \end{aligned}$$

is continuous in the interval $$[-1,1]$$, then $$p=$$

$$-$$1

$$\frac{-1}{2}$$

$$\frac{1}{2}$$

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

-0

The function $$f(x)=\log (1+x)-\frac{2 x}{2+x}$$ is increasing on

$$(-\infty, \infty)$$

$$(-5, \infty)$$

$$(-\infty, 0)$$

$$(-1, \infty)$$