Three Dimensional Geometry

Bihar Board Class 12 · Mathematics · 89 past questions

13 of 89 · show all

1. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D

   If the line $\dfrac{x-x_1}{a_1}=\dfrac{y-y_1}{b_1}=\dfrac{z-z_1}{c_1}$ is parallel to the plane…

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2. Q13 20252024 Set J2024 Set D2019 Set F2017

   The direction cosines of z-axis are-

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3. Q35 2024 Set D2024 Set J2018

   The equation of the xy-plane is…

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4. Q36 2024 Set D2024 Set J

   The distance between the points $(4, 3, 7)$ and $(1, -1, -5)$ is

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5. Q37 2024 Set D2024 Set J

   The direction ratios of a straight line are 1, 3, 5. Then its direction cosines are

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6. Q38 2024 Set D2024 Set J

   The equation of the plane parallel to the plane $3x-5y+4z=11$ is

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7. Q39 2024 Set D2024 Set J

   The angle between two planes $2x+y-2z=5$ and $3x-6y-2z=7$ is

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8. Q40 2024 Set D2024 Set J

   If two planes $2x-4y+3z=5$ and $x+2y+\lambda z=12$ are mutually perpendicular to each other then $\lambda =$

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9. Q41 2024 Set D2024 Set J

   If the line $\frac{x-3}{a}=\frac{y-4}{b}=\frac{z-5}{c}$ is parallel to the line…

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10. Q42 2024 Set D2024 Set J

    Find the value of $p$ so that the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z+17}{p}$ and…

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11. Q43 2024 Set D2024 Set J2016

    The direction ratios of two straight lines are $l,m,n$ and $l_1,m_1,n_1$. The lines will be perpendicular to…

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12. Q44 2024 Set D2024 Set J

    The distance of the plane $x-2y+4z=9$ from the point $(2, 1, -1)$ is

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13. Q45 2024 Set J

    Find the distance between the planes $x - 2y + 2z = 6$ and $3x - 6y + 6z = 2$.

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