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

If $$\mathbf{a}$$ and $$\mathbf{b}$$ are two vectors such that $$|\mathbf{a}|=2, |\mathbf{b}|=3$$ and $$\mathbf{a}+t \mathbf{b}$$ and $$\mathbf{a}-t \mathbf{b}$$ are perpendicular, where $$t$$ is a positive scalar, then

A
$$t= \pm \frac{2}{3}$$
B
$$t=\frac{4}{9}$$
C
$$t=\frac{2}{3}$$
D
$$t=\frac{2}{9}$$
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The variance of the variates 112, 116, 120, 125 and 132 about their AM is

A
58.8
B
60
C
48.8
D
61.8
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following set of data has least standard deviation?

A
10, 20, 30, 40
B
2, 4, 6, 8
C
3, 6, 9, 12
D
1, 2, 3, 4
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

12 balls are distributed among 3 boxes, then the probability that the first box will contain 3 balls is

A
$$\frac{{ }^{12} C_3 \times 2^9}{3^{12}}$$
B
$$\frac{{ }^{12} C_3 \times 2^9}{3^{10}}$$
C
$$\frac{{ }^{12} C_3}{3^{12}}$$
D
$$\frac{{ }^{12} C_3}{3^{10}}$$
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