Three Dimensional Geometry

Bihar Board Class 12 · Mathematics · 89 past questions

15 of 89 · show all

1. Q46 20232023 Set E

   If the direction ratios of two parallel lines are x, 5, 3 and 20, 10, 6 then the value of x is.

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2. Q47 20232023 Set E

   If the direction ratios of two parallel lines are $a_1, b_1, c_1$ and $a_2, b_2, c_2$ then…

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3. Q48 20232023 Set E

   If the direction ratios of two mutually perpendicular lines are 2, 3, 5 and x, y, 4 then $2x+3y=$

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4. Q49 20232023 Set E

   If the direction cosines of a line be $\frac{4}{\sqrt{77}}, \frac{5}{\sqrt{77}}$ and $\frac{x}{\sqrt{77}}$…

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5. Q50 2023

   Distance of the plane 3x-4y+6z=11 from origin is

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6. Q51 20232023 Set E

   Equation of a plane parallel to the plane x-8y-9z=12 is

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7. Q52 20232023 Set E

   The intercept cut off on x-axis by the plane 3x+4y+5z=13 is

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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. Q55 20232023 Set E

    Direction ratios of the normal to the plane x+2y-3z+15=0 are

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11. Q56 20232023 Set E

    The direction ratios of the straight line $\dfrac{x+1}{3}=\dfrac{y-2}{3}=\dfrac{z-5}{6}$

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12. Q57 20232023 Set E

    Through which of the following points does the straight line…

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13. Q58 2023 Set E

    Distance of the plane $3x - 4y + 6z = 11$ from origin is

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14. 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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15. Q60 2023 Set E

    Find the acute angle between the lines $\frac{x}{2}=\frac{y}{2}=\frac{z}{1}$ and…

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