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3D Geometry · 2024 · 30 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 30 Jan · Shift 1
Mathematics
3D Geometry

3D Geometry · 2024 · 30 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

Q37.Let $(α, β, γ)$ be the foot of perpendicular from the point $(1, 2, 3)$ on the line $\frac{x + 3}{5} = \frac{y - 1}{2} = \frac{z + 4}{3}$ . Then $19 (α + β + γ)$ is equal to :
Mathematics · 3D Geometry · MCQ
Q44.Let $A (2, 3, 5)$ and $C (- 3, 4, - 2)$ be opposite vertices of a parallelogram $A B C D$ . If the diagonal $BD = \hat{i} + 2 \hat{j} + 3 \hat{k}$ , then the area of the parallelogram is equal to :
Mathematics · 3D Geometry · MCQ
Q57.If $d_{1}$ is the shortest distance between the lines $x + 1 = 2 y = - 12 z, x = y + 2 = 6 z - 6$ and $d_{2}$ is the shortest distance between the lines $\frac{x - 1}{2} = \frac{y + 8}{- 7} = \frac{z - 4}{5}, \frac{x - 1}{2} = \frac{y - 2}{1} = \frac{z - 6}{- 3}$ …
Mathematics · 3D Geometry · Numerical