1
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

A discrete random variable X takes values 10, 20, 30 and 40. with probability 0.3, 0.3, 0.2 and 0.2 respectively. Then the expected value of X is

A
12
B
22
C
23
D
24
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Let $$X$$ be a random variable which takes values $$1,2,3,4$$ such that $$P(X=r)=K r^3$$ where $$r=1,2,3,4$$ then

A
$$K=\frac{1}{100}$$ and $$P\left(\frac{1}{2} < X<\frac{5}{2} \mid X > 1\right)=\frac{8}{97}$$
B
$$K=\frac{1}{99}$$ and $$P\left(\frac{1}{2} < X < \frac{5}{2} \mid X > 1\right)=\frac{8}{99}$$
C
$$K=\frac{1}{100}$$ and $$P\left(\frac{1}{2} < X < \frac{5}{2} \mid X > 1\right)=\frac{8}{99}$$
D
$$K=\frac{1}{100}$$ and $$P\left(\frac{1}{2} < X <\frac{5}{2} \mid X >1\right)=\frac{10}{99}$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Given, two fixed points $$A(-2,1)$$ and $$B(3,0)$$. Find the locus of a point $$P$$ which moves such that the angle $$\angle A P B$$ is always a right angle.

A
$$x^2+y^2+x+y+6=0$$
B
$$x^2+y^2-x-y-6=0$$
C
$$x+y+6=0$$
D
$$2 x^2+2 y^2-2 x-2 y+1=0$$
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

When the coordinate axes are rotated through an angle 135$$\Upsilon$$, the coordinates of a point $$P$$ in the new system are known to be $$(4,-3)$$. Then find the coordinates of $$P$$ in the original system.

A
$$\left(\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$$
B
$$\left(\frac{-1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$$
C
$$\left(\frac{1}{\sqrt{2}}, \frac{-7}{\sqrt{2}}\right)$$
D
$$\left(\frac{-1}{\sqrt{2}}, \frac{-7}{\sqrt{2}}\right)$$
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