1
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $2 \mathbf{i}+3 \mathbf{j}-4 \mathbf{k}$ and $-\mathbf{i}+2 \mathbf{j}+\mathbf{k}$ are the two diagonals of a parallelogram, then the area of the parallelogram in square units is

A

$\frac{1}{2} \sqrt{170}$

B

$\sqrt{174}$

C

$\sqrt{\frac{87}{2}}$

D

$\frac{1}{4} \sqrt{174}$

2
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

There are $n$ observations and all of them are negative numbers. The ascending order of these observations is $x_1, x_2, \ldots . x_n$. If the signs of the first term and last term in that order are changed, then the range of the data is

A

$\left|x_1\right|-\left|x_n\right|$

B

$\left|x_n-x_1\right|$

C

$\left|x_1\right|-x_2$

D

$\left|x_1\right|-\left|x_2\right|$

3
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A bag contains 3 white and 6 red balls. Four balls are drawn at a time randomly. Then, the probability of getting at least two red balls is

A

$\frac{8}{27}$

B

$\frac{5}{14}$

C

$\frac{60}{63}$

D

$\frac{1}{2}$

4
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

$A$ and $B$ are two independent events $P(A)=\frac{2}{5}, P(B)=\frac{1}{3}$.

Match the following :

$$
\text { List I }
$$
$$
\text { List II }
$$
(A) $\quad P(\bar{A} \cup B)$ I. $$
\frac{11}{15}
$$
(B) $P\left(\frac{A}{\bar{B}}\right)$ II. $$
\frac{3}{5}
$$
(C) $P(A \cup B)$ III. $$
\frac{2}{3}
$$
(D) $p\left(\frac{\bar{B}}{A}\right)$ IV. $$
\frac{2}{5}
$$
V. $$
\frac{1}{3}
$$

The correct match is

A
A B C D
I III IV II
B
A B C D
II IV V I
C
A B C D
II IV III V
D
A B C D
II IV III I

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