1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The sine of the angle between the straight line $$\frac{x-2}{3}=\frac{3-y}{-4}=\frac{z-4}{5}$$ and the plane $$2 x-2 y+z=5$$ is

A
$$\frac{3}{\sqrt{30}}$$
B
$$\frac{3}{50}$$
C
$$\frac{4}{5 \sqrt{2}}$$
D
$$\frac{\sqrt{2}}{10}$$
2
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If a line makes an angle of with each of $$X$$ and $$Y$$-axis, then the acute angle made by Z-axis is

A
$$\frac{\pi}{4}$$
B
$$\frac{\pi}{6}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{\pi}{2}$$
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

Foot of the perpendicular drawn from the point $$(1,3,4)$$ to the plane $$2 x-y+z+3=0$$ is

A
$$(1,2-3)$$
B
$$(-1,4,3)$$
C
$$(-3,5,2)$$
D
$$(0,-4,-7)$$
4
KCET 2019
MCQ (Single Correct Answer)
+1
-0

Acute angel between the line $$\frac{(x-5)}{2}=\frac{y+1}{-1}=\frac{z+4}{1}$$ and the plane $$3 x-4 y-z+5=0$$ is

A
$$\cos ^{-1}\left(\frac{5}{2 \sqrt{3}}\right)$$
B
$$\cos ^{-1}\left(\frac{9}{\sqrt{364}}\right)$$
C
$$\sin ^{-1}\left(\frac{5}{2 \sqrt{13}}\right)$$
D
$$\sin ^{-1}\left(\frac{9}{\sqrt{364}}\right)$$
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