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

The joint equation of the pair of lines through the origin and making an equilateral triangle with the line $$x=3$$ is

A
$$3 x^2-y^2=0$$
B
$$\sqrt{3} x^2-2 x y+y^2=0$$
C
$$x^2-3 y^2=0$$
D
$$x^2+2 x y-\sqrt{3} y^2=0$$
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If 1 is added to first 10 natural numbers, then variance of the numbers so obtained is

A
8.25
B
3.87
C
6.5
D
2.87
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X has the following probability distribution

$$\mathrm{X=x}$$ 0 1 2 3 4 5 6 7
$$\mathrm{P[X=x]}$$ 0 $$\mathrm{k}$$ $$\mathrm{2k}$$ $$\mathrm{2k}$$ $$\mathrm{3k}$$ $$\mathrm{k^2}$$ $$\mathrm{2k^2}$$ $$\mathrm{7k^2+k}$$

then F(4) =

A
$$\frac{3}{10}$$
B
$$\frac{1}{10}$$
C
$$\frac{7}{10}$$
D
$$\frac{4}{5}$$
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A differential equation for the temperature 'T' of a hot body as a function of time, when it is placed in a bath which is held at a constant temperature of 32$$^\circ$$ F, is given by (where k is a constant of proportionality)

A
$$\mathrm{\frac{dT}{dt}=kT-32}$$
B
$$\mathrm{\frac{dT}{dt}=kT+32}$$
C
$$\mathrm{\frac{dT}{dt}=-k(T-32)}$$
D
$$\mathrm{\frac{dT}{dt}=32kT}$$
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