KCET 2026 | Three Dimensional Geometry Question 3 | Mathematics

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

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

KCET 2025

MCQ (Single Correct Answer)

-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

$\frac{x}{3}=\frac{y-1}{4}=\frac{z-2}{-3}$

$\frac{\mathrm{x}}{-3}=\frac{\mathrm{y}-1}{4}=\frac{\mathrm{z}-2}{3}$

$\frac{x}{3}=\frac{y-1}{4}=\frac{z-2}{3}$

$\frac{x}{3}=\frac{y-1}{-4}=\frac{z-2}{3}$

KCET 2025

MCQ (Single Correct Answer)

-0

The distance of the point $\mathrm{P}(-3,4,5)$ from yz plane is

4 units

5 units

-3 units

3 units

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