1
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The direction cosines of the line joining the points $$(-2,4,-5)$$ and $$(1,2,3)$$ are

A
$$\left(\frac{3}{\sqrt{77}}, \frac{-2}{\sqrt{77}}, \frac{8}{\sqrt{77}}\right)$$
B
$$\left(\frac{3}{\sqrt{77}}, \frac{2}{\sqrt{77}}, \frac{8}{\sqrt{77}}\right)$$
C
$$(1,0,0)$$
D
$$\left(\frac{-3}{77}, \frac{-2}{77}, \frac{8}{77}\right)$$
2
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The points (2, 3, 4), ($$-$$1, $$-$$2, 1) and (5, 8, 7) are

A
collinear
B
vertices of a right angled triangle
C
vertices of a equilateral triangle
D
vertices of an isosceles triangle
3
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The sum of intercepts of the plane $$4 x+3 y+2 z=2$$ on the coordinate axes is

A
$$\frac{13}{6}$$
B
9
C
$$\frac{13}{12}$$
D
2
4
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the lines, $$\frac{x-3}{2}=\frac{y-2}{3}=\frac{z-1}{\lambda}$$ and $$\frac{x-2}{3}=\frac{y-3}{2}=\frac{z-2}{3}$$ are coplanar, then $$\sin ^{-1}(\sin \lambda)+\cos ^{-1}(\cos \lambda)$$ is equal to

A
$$8-2 \pi$$
B
$$6-\pi$$
C
$$3 \pi-8$$
D
$$4 \pi-8$$

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