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

The ratio in which the YZ-plane divides the line joining (2, 4, 5) and (3, 5, $$-$$4) is

A
2 : 3 internally
B
3 : 2 internally
C
3 : 2 externally
D
2 : 3 externally
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The direction cosines of a line which makes equal angles with the coordinate axes are

A
$$\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$$
B
$$\left(\frac{-1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}\right)$$
C
$$\left(\frac{ \pm 1}{\sqrt{3}}, \frac{ \pm 1}{\sqrt{3}}, \frac{ \pm 1}{\sqrt{3}}\right)$$
D
$$\left(\frac{12}{15}, \frac{5}{13}, 0\right)$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$O$$ be the origin and $$P$$ be a point which is at a distance of 3 units from the origin. If the direction ratios of $$\overline{O P}$$ are $$(1,-2,-2)$$, then the coordinates of $$P$$ are

A
$$(1,-2,-2)$$
B
$$(3,-6,-6)$$
C
$$\left(\frac{1}{3}, \frac{-2}{3}, \frac{-2}{3}\right)$$
D
$$\left(\frac{1}{9}, \frac{-2}{9}, \frac{-2}{9}\right)$$
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\lim _\limits{z \rightarrow 1} \frac{z^{(1 / 3)}-1}{z^{(1 / 6)}-1}$$ is equal to

A
$$-$$1
B
1
C
2
D
$$-$$2
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