Three Dimensional Geometry

JEE Advanced · Mathematics · 38 past questions

8 of 38 · show all

1. Q2 2026 Paper 2

   Let $L$ be the straight line joining the points $P(1,2,-1)$ and $Q(2,3,1)$. Let $S$ be the foot of the…

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2. Q8 2023 Paper 1

   Let $\ell_1$ and $\ell_2$ be the lines $\vec r_1=\lambda(\hat i+\hat j+\hat k)$ and…

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3. Q13 2020 Paper 2

   Let $\alpha, \beta, \gamma, \delta$ be real numbers such that $\alpha^2 + \beta^2 + \gamma^2 \neq 0$ and…

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4. Q17 2018 Paper 2

   Let $P$ be a point in the first octant, whose image $Q$ in the plane $x+y=3$ (that is, the line segment $PQ$…

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5. Q22 2015 Paper 1

   In $\mathbb{R}^3$, let $L$ be a straight line passing through the origin. Suppose that all the points on $L$…

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6. Q23 2014 Paper 1

   From a point $P(\lambda,\lambda,\lambda)$, perpendiculars $PQ$ and $PR$ are drawn respectively on the lines…

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7. Q24 2013 Paper 1

   Perpendiculars are drawn from points on the line $\frac{x+2}{2}=\frac{y+1}{-1}=\frac{z}{3}$ to the plane…

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8. Q31 2010 Paper 2

   If the distance of the point $P(1, -2, 1)$ from the plane $x + 2y - 2z = \alpha$, where $\alpha > 0$, is $5$…

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