1
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The lengths of sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one. Then the length of the sides of the triangle (in units) are

A
$$3,4,5$$
B
$$4,5,6$$
C
$$5,6,7$$
D
$$2,3,4$$
2
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

For 20 observations of variable $x$, if $$\sum\left(x_i-2\right)=20$$ and $$\sum\left(x_i-2\right)^2=100$$, then the standard deviation of variable $$x$$ is

A
2
B
3
C
4
D
9
3
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Equation of plane containing the line $$\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$$ and perpendicular to the plane containing the lines $$\frac{x}{3}=\frac{y}{4}=\frac{z}{2}$$ and $$\frac{x}{4}=\frac{y}{2}=\frac{z}{3}$$ is

A
$$x+2 y+z=0$$
B
$$x+2 y-z=0$$
C
$$x-2 y+z=0$$
D
$$x-2 y-z=0$$
4
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$(2+\sin x) \frac{\mathrm{d} y}{\mathrm{~d} x}+(y+1) \cos x=0$$ and $$y(0)=1$$, then $$y\left(\frac{\pi}{2}\right)$$ is

A
$$\frac{-2}{3}$$
B
$$\frac{-1}{3}$$
C
$$\frac{4}{3}$$
D
$$\frac{1}{3}$$
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