Three Dimensional Geometry

Bihar Board Class 12 · Mathematics · 89 past questions

18 of 89 · show all

1. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   The direction ratios of a straight line are 2, 6, $-3$. Then its direction cosines are

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2. Q9 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

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

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3. Q13 20252024 Set J2024 Set D2019 Set F2017

   The direction cosines of z-axis are-

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4. Q16 2025

   If a line makes angle $30^0, 60^0$ and $90^0$ with the positive direction of $x, y$ and $z$-axis…

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5. Q18 2025

   The direction cosines of the unit vector perpendicular to the plane…

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6. Q19 2025

   If direction ratios of a straight line are 2, −3, 5 then its direction cosines are

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7. Q30 2025 Set A2025 Set E

   The direction ratios of the straight line $\frac{x-19}{13}=\frac{y-17}{11}=\frac{z-15}{9}$ are

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8. 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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9. 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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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. Q67 2018

    The direction Cosines of y axis are…

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13. Q72 2017

    let a,b,c be the direction ratios of a line then direction cosines are

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14. Q74 20172015

    The direction ratios of the normal to the plane $7x+4y-2z+5=0$ are

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15. Q75 20162015

    The direction cosines of the y-axis are

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16. Q76 2016

    l, m, n, are the direction cosines of a straight line them

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17. Q78 2016

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

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18. Q83 2015

    The direction ratios of the line joining the points $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ are

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