← CBSE Class 12 PYQ

Three Dimensional Geometry

CBSE Class 12 · Mathematics · 37 past questions

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Q1 2026

The length of perpendicular drawn from point $(2, 5, 7)$ on line $\frac{x}{1} = \frac{y}{0} = \frac{z}{0}$ is
Q5 2026

Direction : Question numbers 19 and 20 are Assertion (A) and Reason (R) based questions carrying 1 mark each.…
Q6 2026

Find the co-ordinates of the point on the line…
Q8 2026

If $l_1, m_1, n_1$ and $l_2, m_2, n_2$ are direction cosines of lines $L_1$ and $L_2$ respectively and…
Q9 2026

Direction ratios of lines $l_1$ and $l_2$ are $<12, -3, 9>$ and $<4, q, -p>$ respectively. The values of p…
Q13 2025

The line $x = 1 + 5\mu$, $y = -5 + \mu$, $z = -6 - 3\mu$ passes through which of the following point ?
Q16 2024

The distance of point P(a, b, c) from y-axis is…
Q17 2024

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q19 2024

If $\alpha$, $\beta$ and $\gamma$ are the angles which a line makes with positive directions of x, y and z…
Q20 2024

If a line makes an angle of $\dfrac{\pi}{4}$ with the positive directions of both x-axis and z-axis, then the…
Q22 2024

The coordinates of the foot of the perpendicular drawn from the point $(0, 1, 2)$ on the x-axis are given by…
Q23 2024

Direction ratios of a vector parallel to line $\dfrac{x-1}{2} = -y = \dfrac{2z+1}{6}$ are…
Q24 2024

If a line makes an angle of $30°$ with the positive direction of x-axis, $120°$ with the positive direction…
Q26 2023

The value of $\lambda$ for which the angle between the lines…
Q33 2023

Equation of a line passing through point (1, 1, 1) and parallel to z-axis is
Q36 2022

Find the values of $\lambda$, for which the distance of point $(2, 1, \lambda)$ from plane $3x+5y+4z=11$ is…