1
KCET 2024
MCQ (Single Correct Answer)
+1
-0

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

A
$\frac{1}{5 \sqrt{2}}$
B
$\frac{2}{5 \sqrt{2}}$
C
$\frac{3}{50}$
D
$\frac{3}{\sqrt{50}}$
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The equation $x y=0$ in three-dimensional space represents

A
a pair of straight lines
B
a plane
C
a pair of planes at right angles
D
a pair of parallel planes
3
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The plane containing the point $(3,2,0)$ and the line $\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}$ is

A
$x-y+z=1$
B
$x+y+z=5$
C
$x+2 y-z=1$
D
$2 x-y+z=5$
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If a line makes an angle of $$\frac{\pi}{3}$$ with each $$X$$ and $$Y$$ axis, then the acute angle made by $$\mathrm{Z}$$-axis is

A
$$\frac{\pi}{3}$$
B
$$\frac{\pi}{2}$$
C
$$\frac{\pi}{4}$$
D
$$\frac{\pi}{6}$$
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