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3D Geometry question

2025 · 3 Apr · Shift 1 · Q38

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JEE Main
Mathematics
3D Geometry
2025 · 3 Apr · Shift 1 · Q38

3D Geometry question

2025 · 3 Apr · Shift 1 · Q38

JEE MainMathematics3D GeometryMCQ+4 / −1

Line

L_1

passes through the point

(1,2,3)

and is parallel to

z

-axis. Line

L_2

passes through the point

(\lambda, 5,6)

and is parallel to

y

-axis. Let for

\lambda=\lambda_1, \lambda_2, \lambda_2\lt \lambda_1

, the shortest distance between the two lines be 3 . Then the square of the distance of the point

\left(\lambda_1, \lambda_2, 7\right)

from the line

L_1

is

A
25
B
32
C
40
D
37

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