Three Dimensional Geometry

JEE Advanced · Mathematics · 38 past questions

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1. Q1 2026 Paper 1

   Let $P$ be the plane such that it contains the straight line $\frac{x-1}{2}=\frac{y-3}{3}=\frac{z+2}{1}$ and…

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2. Q10 2022 Paper 1

   Let $S$ be the reflection of a point $Q$ with respect to the plane given by…

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3. Q11 2021 Paper 1

   Let $\alpha, \beta$ and $\gamma$ be real numbers such that the system of linear equations…

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4. Q16 2018 Paper 1

   Let $P_1: 2x + y - z = 3$ and $P_2: x + 2y + z = 2$ be two planes. Then, which of the following statement(s)…

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5. Q18 2017 Paper 2

   The equation of the plane passing through the point $(1, 1, 1)$ and perpendicular to the planes…

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6. Q20 2016 Paper 2

   Let $P$ be the image of the point $(3,1,7)$ with respect to the plane $x-y+z=3$. Then the equation of the…

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7. Q21 2015 Paper 1

   In $\mathbb{R}^3$, consider the planes $P_1: y=0$ and $P_2: x+z=1$. Let $P_3$ be a plane, different from…

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8. Q26 2013 Paper 2

   Consider the lines $L_1 : \frac{x-1}{2} = \frac{y}{-1} = \frac{z+3}{1}$…

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9. Q28 2012 Paper 2

   The equation of a plane passing through the line of intersection of the planes $x + 2y + 3z = 2$ and…

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10. Q29 2010 Paper 1

    Equation of the plane containing the straight line $\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$ and perpendicular to…

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11. Q30 2010 Paper 1

    If the distance between the plane $Ax-2y+z=d$ and the plane containing the lines…

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