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3D Geometry · 2024 · 30 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
Papers
2024 · 30 Jan · Shift 2
Mathematics
3D Geometry

3D Geometry · 2024 · 30 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q41.Let $L_{1} : r = (\hat{i} - \hat{j} + 2 \hat{k}) + λ (\hat{i} - \hat{j} + 2 \hat{k}), λ \in R$ , $L_{2} : r = (\hat{j} - \hat{k}) + μ (3 \hat{i} + \hat{j} + p \hat{k}), μ \in R, and L_{3} : r = δ (ℓ \hat{i} + m \hat{j} + n \hat{k}), δ \in R$ …
Mathematics · 3D Geometry · MCQ
Q55.Let a line passing through the point $(- 1, 2, 3)$ intersect the lines $L_{1} : \frac{x - 1}{3} = \frac{y - 2}{2} = \frac{z + 1}{- 2}$ at $M (α, β, γ)$ and $L_{2} : \frac{x + 2}{- 3} = \frac{y - 2}{- 2} = \frac{z - 1}{4}$ at $N (a, b, c)$ . Then, the value of $\frac{( α + β + γ ) ^{2}}{( a + b + c ) ^{2}}$ …
Mathematics · 3D Geometry · Numerical