1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If a line makes angles $90^{\circ}, 60^{\circ}$ and $\theta$ with $\mathrm{x}, \mathrm{y}$ and z axes respectively, where $\theta$ is acute, then the value of $\theta$ is

A
$\frac{\pi}{6}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{2}$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The equation of the line through the point $(0,1,2)$ and perpendicular to the line $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{-2}$ is

A
$\frac{x}{3}=\frac{y-1}{4}=\frac{z-2}{-3}$
B
$\frac{\mathrm{x}}{-3}=\frac{\mathrm{y}-1}{4}=\frac{\mathrm{z}-2}{3}$
C
$\frac{x}{3}=\frac{y-1}{4}=\frac{z-2}{3}$
D
$\frac{x}{3}=\frac{y-1}{-4}=\frac{z-2}{3}$
3
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
4
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
$-7$
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