1
KCET 2025
MCQ (Single Correct Answer)
+1
-0
The distance of the point $\mathrm{P}(-3,4,5)$ from yz plane is
A
4 units
B
5 units
C
-3 units
D
3 units
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

If lines $\frac{x-1}{-3}=\frac{y-2}{2 k}=\frac{z-3}{2}$ and $\frac{x-1}{3 k}=\frac{y-5}{1}=\frac{z-6}{-5}$ are mutually perpendicular, then $k$ is equal to

A
$-\frac{10}{7}$
B
$-\frac{7}{10}$
C
$-10$
D
$-7$
3
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The distance between the two planes $2 x+3 y+4 z=4$ and $4 x+6 y+8 z=12$ is

A
2 units
B
8 units
C
$\frac{2}{\sqrt{29}}$ unit
D
4 units
4
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
$\frac{3}{\sqrt{50}}$
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