1
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The angle between the lines $$\frac{x-5}{-3}=\frac{y+3}{-4}=\frac{z-7}{0}, \frac{x}{1}=\frac{y-1}{-2}=\frac{z-6}{2}$$ is

A
$$\frac{\pi}{3}$$
B
$$\tan ^{-1}\left(\frac{1}{5}\right)$$
C
$$\cos ^{-1}\left(\frac{1}{3}\right)$$
D
$$\frac{\pi}{2}$$
2
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The cartesian product $$A \times A$$ has 9 elements among which are found $$(-1,0)$$ and $$(0,1)$$, then set $$A$$ is equal to

A
$$\{1,0\}$$
B
$$\{1,-1,0\}$$
C
$$\{0,-1\}$$
D
$$\{1,-1\}$$
3
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

If $$S=\{(a, b): b=|a-1|, a \in Z$$ and $$|a|<3\}$$, where $$Z$$ denotes the set of integers. Then, the range set of $$S$$ is

A
$$\{1,2,3\}$$
B
$$\{-1,2,3,1\}$$
C
$$\{0,1,2,3,4\}$$
D
$$\{-1,-2,-3,-4\}$$
4
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The quotient of the identity function by the reciprocal function is given by

A
$$x^2 \forall x \in \mathbb{R}$$ (set of real numbers)
B
$$\frac{1}{x^2} \forall x \in \mathbb{R}-\{0\}$$
C
$$x^2 \forall x \in \mathbb{R}-\{0\}$$
D
None of the above
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