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3D Geometry question

2025 · 4 Apr · Shift 1 · Q40

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PYQ Library
JEE Main
Mathematics
3D Geometry
2025 · 4 Apr · Shift 1 · Q40

3D Geometry question

2025 · 4 Apr · Shift 1 · Q40

JEE MainMathematics3D GeometryMCQ+4 / −1

Let

A

and

B

be two distinct points on the line

L: \frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}

. Both

A

and

B

are at a distance

2 \sqrt{17}

from the foot of perpendicular drawn from the point

(1,2,3)

on the line

L

. If

O

is the origin, then

\overrightarrow{O A} \cdot \overrightarrow{O B}

is equal to

A
49
B
21
C
47
D
62

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