1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Area bounded by the lines $$y=x, x=-1, x=2$$ and the $$X$$-axis is

A
$$\frac{1}{2}$$ sq.units
B
$$\frac{3}{2}$$ sq.units
C
$$\frac{5}{2}$$ sq.units
D
$$\frac{7}{4}$$ sq.units
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{\mathrm{dx}}{32-2 \mathrm{x}^2}=\mathrm{A} \log (4-\mathrm{x})+\mathrm{B} \log (4+\mathrm{x})+\mathrm{c}$$, then the values of $$\mathrm{A}$$ and $$\mathrm{B}$$ are respectively (where c is a constant of integration)

A
$$\frac{-1}{8}, \frac{1}{8}$$
B
$$\frac{1}{8}, \frac{-1}{8}$$
C
$$\frac{-1}{16}, \frac{1}{16}$$
D
$$\frac{1}{8}, \frac{1}{8}$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{A}$$ and $$\mathrm{B}$$ are the foot of the perpendicular drawn from the point $$\mathrm{Q}(\mathrm{a}, \mathrm{b}, \mathrm{c})$$ to the planes $$\mathrm{YZ}$$ and $$\mathrm{ZX}$$ respectively, then the equation of the plane through the points $$\mathrm{A}, \mathrm{B}$$, and $$\mathrm{O}$$ is (where $$\mathrm{O}$$ is the origin)

A
$$\frac{x}{a}-\frac{y}{b}-\frac{z}{c}=0$$
B
$$\frac{x}{a}+\frac{y}{b}-\frac{z}{c}=0$$
C
$$\frac{x}{a}-\frac{y}{b}+\frac{z}{c}=0$$
D
$$\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=0$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$|\vec{a}|=4,|\vec{b}|=5$$, then the values of $$k$$ for which $$\vec{a}+k \vec{b}$$ is perpendicular to $$\vec{a}-k \vec{b}$$ are

A
$$\pm \frac{5}{4}$$
B
$$\pm \frac{2}{5}$$
C
$$\pm \frac{16}{25}$$
D
$$\pm \frac{4}{5}$$
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