1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of the plane $$\overline{\mathrm{r}}=(\hat{\mathrm{i}}-\hat{\mathrm{j}})+\lambda(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})+\mu(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})$$ is

A
$$x+y+z=0$$
B
$$5 x+2 y+3 z=3$$
C
$$2 x+y+z=0$$
D
$$5 x-2 y-3 z-7=0$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The principal solutions of $$\sqrt{3} \sec x+2=0$$ are

A
$$\frac{\pi}{6}, \frac{5 \pi}{6}$$
B
$$\frac{5 \pi}{6}, \frac{7 \pi}{6}$$
C
$$\frac{\pi}{3}, \frac{2 \pi}{3}$$
D
$$\frac{2 \pi}{3}, \frac{4 \pi}{3}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \operatorname{cosec}(x-a) \operatorname{cosec} x d x=$$

A
$$\operatorname{cosec} a \cdot \log [\sin (x-a) \operatorname{cosec} x]+c$$
B
$$\operatorname{cosec} a \log [\sin (x-a) \sin x]+c$$
C
$$\sin a \cdot \log [\sin (x-a) \sin x]+c$$
D
$$\operatorname{cosec} a \cdot \log [\operatorname{cosec}(x-a) \sin x]+c$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=2x^3-15x^2-144x-7$$, then $$f(x)$$ is strictly decreasing in

A
$$(-8,3)$$
B
$$(-3,8)$$
C
$$(3,8)$$
D
$$(-8,-3)$$
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