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

A spherical raindrop evaporates at a rate proportional to its surface area. If its radius originally is 3 mm. and 1 hour later has been reduced to 2 mm, then the expression of radius r of the raindrop at any time t is (where 0 $$\le$$ t < 3)

A
r = t + 5
B
r = t $$-$$ 5
C
r = 3 $$-$$ t
D
r = t + 3
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation of all parabolas having vertex at the origin and axis along positive Y-axis is

A
$$x^2 \frac{d y}{d x}-y=0$$
B
$$x \frac{d y}{d x}+2 y=0$$
C
$$x \frac{d y}{d x}+y=0$$
D
$$2x \frac{d y}{d x}- y=0$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the vectors $$2 \hat{i}-\hat{j}-\hat{k} ; \hat{i}+2 \hat{j}-3 \hat{k}$$ and $$3 \hat{i}+\lambda \hat{j}+5 \hat{k}$$ are coplanar, then the value of $$\lambda$$ is

A
$$-$$8
B
$$-$$4
C
$$-$$2
D
$$-$$1
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\lim _\limits{x \rightarrow 2}(x-1)^{ \frac{1}{3 x-6}}=$$

A
$$\mathrm{e^2}$$
B
$$\mathrm{e}^3$$
C
$$\mathrm{e}^{\frac{1}{3}}$$
D
$$\mathrm{e}^{\frac{1}{2}}$$
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