Three Dimensional Geometry

CBSE Class 12 · Mathematics · 37 past questions

11 of 37 · show all

1. Q1 2026

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

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2. Q2 2026

   Assertion (A): Lines given by $x = py + q$, $z = ry + s$ and $x = p'y + q'$, $z = r'y + s'$ are perpendicular…

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3. Q3 2026

   Check whether the lines given by $\dfrac{x-1}{2} = \dfrac{y-2}{3} = \dfrac{z-3}{4}$ and…

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4. Q4 2026

   Direction cosines of the line given by equations : $\frac{2x-1}{4} = \frac{1-y}{3} = \frac{-z}{6}$ are

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5. Q5 2026

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

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6. Q6 2026

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

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7. Q7 2026

   A line passing through the points A(1, 2, 3) and B(5, 8, 11) intersects the line…

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8. 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…

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9. Q9 2026

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

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10. Q10 2026

    If the lines $\frac{x-3}{1} = \frac{1-y}{1} = \frac{z+2}{p}$ and…

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11. Q11 2026

    Represent the equations of lines $l_1$ and $l_2$ in vector form and check whether they are intersecting or…

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