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3D Geometry · 2024 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2024 · Shift 1
Mathematics
3D Geometry

3D Geometry · 2024 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q24.Let $R^{3}$ denote the three-dimensional space. Take two points $P = (1, 2, 3)$ and $Q = (4, 2, 7)$ . Let $dist (X, Y)$ denote the distance between two points $X$ and $Y$ in $R^{3}$ . Let $S = {X \in R^{3} : (dist (X, P))^{2} - (dist (X, Q))^{2} = 50} and T = {Y \in R^{3} : (dist (Y, Q))^{2} - (dist (Y, P))^{2} = 50} .$ …
Mathematics · 3D Geometry · Multiple correct
Q33.Let $γ \in R$ be such that the lines $L_{1} : \frac{x + 11}{1} = \frac{y + 21}{2} = \frac{z + 29}{3}$ and $L_{2} : \frac{x + 16}{3} = \frac{y + 11}{2} = \frac{z + 4}{γ}$ intersect. Let $R_{1}$ be the point of intersection of $L_{1}$ and $L_{2}$ . Let $O = (0, 0, 0)$ … Includes table
Mathematics · 3D Geometry · MCQ