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

The expression $$[(p \wedge \sim q) \vee q] \vee(\sim p \wedge q)$$ is equivalent to

A
$$p \vee q$$
B
$$p \wedge q$$
C
$$p \rightarrow q$$
D
$$p \leftrightarrow q$$
2
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If a plane meets the axes $$\mathrm{X}, \mathrm{Y}, \mathrm{Z}$$ in $$\mathrm{A}, \mathrm{B}, \mathrm{C}$$ respectively such that centroid of $$\triangle \mathrm{ABC}$$ is $$(1,2,3)$$, then the equation of the plane is

A
$$x+2 y+3 z=1$$
B
$$x+\frac{y}{2}+\frac{z}{3}=3$$
C
$$\frac{x}{3}+\frac{y}{6}+\frac{z}{9}=1$$
D
$$\frac{x}{4}+\frac{y}{8}+\frac{z}{12}=1$$
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The sum of three numbers is 6. Thrice the third number when added to the first number gives 7. On adding three times first number to the sum of second and third number we get 12. The product of these numbers is

A
20
B
3
C
$$\frac{20}{3}$$
D
$$\frac{5}{3}$$
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\tan ^{-1}\left(\tan \frac{5 \pi}{6}\right)+\cos ^{-1}\left(\cos \frac{13 \pi}{6}\right)=$$

A
0
B
$$3 \pi$$
C
$$\frac{-\pi}{6}$$
D
$$\frac{\pi}{6}$$
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