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3D Geometry · 2024 · 29 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 29 Jan · Shift 1
Mathematics
3D Geometry

3D Geometry · 2024 · 29 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

Q41.Let $O$ be the origin and the position vectors of $A$ and $B$ be $2 \hat{i} + 2 \hat{j} + \hat{k}$ and $2 \hat{i} + 4 \hat{j} + 4 \hat{k}$ respectively. If the internal bisector of $∠ AOB$ meets the line $AB$ at…
Mathematics · 3D Geometry · MCQ
Q47.Let $P QR$ be a triangle with $R (- 1, 4, 2)$ . Suppose $M (2, 1, 2)$ is the mid point of $PQ$ . The distance of the centroid of $△ PQR$ from the point of intersection of the lines $\frac{x - 2}{0} = \frac{y}{2} = \frac{z + 3}{- 1}$ …
Mathematics · 3D Geometry · MCQ
Q54.A line with direction ratios $2, 1, 2$ meets the lines $x = y + 2 = z$ and $x + 2 = 2 y = 2 z$ respectively at the points $P$ and $Q$ . If the length of the perpendicular from the point $(1, 2, 12)$ to the line $PQ$ is $l$ , then $l^{2}$ …
Mathematics · 3D Geometry · Numerical