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

The equation of the plane passing through $$3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+6 \hat{\mathbf{k}}$$ and parallel to the vectors $$2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ and $$\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ is

A
$$x+y+z=11$$
B
$$2 x-y-3 z=-14$$
C
$$2 x-y+z=10$$
D
$$x-2 y+3 z=17$$
2
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
$$\left(\frac{-3}{77}, \frac{-2}{77}, \frac{8}{77}\right)$$
3
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
4
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

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