Three Dimensional Geometry

Bihar Board Class 12 · Mathematics · 89 past questions

13 of 89 · show all

1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If two planes $x-4y+\lambda z+3=0$ and $2x+2y+3z=5$ are perpendicular to each other then $\lambda =$

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2. 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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3. Q21 2025

   If two planes $x - 3y + 2z = 10$ and $7x + y - \lambda z = 5$ are perpendicular to each other, then…

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4. Q23 2025

   The angle between the planes $4x + 8y + z - 3 = 0$ and $y + z - 7 = 0$ is

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5. Q34 2025 Set E

   Find the acute angle between the line $\frac{x}{1}=\frac{y}{3}=\frac{z}{0}$ and the plane $2x+y=5$.

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6. 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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7. 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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8. Q53 20232023 Set E

   If the line $\frac{x}{-1} = \frac{y}{2} = \frac{z}{3}$ is parallel to the plane $ax+by+cz+d=0$ then

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9. Q54 2023

   If two planes $a_1x + b_1y + c_1z + d_1 = 0$ and $a_2x + b_2y + c_2z + d_2 = 0$ are mutually perpendicular…

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10. Q59 2023 Set E

    If two planes $a_1x+b_1y+c_1z+d_1=0$ and $a_2x+b_2y+c_2z+d_2=0$ are mutually perpendicular then

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11. Q68 2018

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

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12. Q86 2015

    If the line $\frac{x-x_1}{l}=\frac{y-y_1}{m}=\frac{z-z_1}{n}$ is parallel to the plane $ax+by+cz+d=0$, then

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13. Q87 2015

    If the planes $a_1x+b_1y+c_1z+d_1=0$ and $a_2x+b_2y+c_2z+d_2=0$

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