Maths Coordinate Geometry (3D) JEE Main 2025 - ( Three Dimensional Geometry ) Single Correct MCQ
Published on: August 13, 2026

The line is parallel to the vector and passes through the point ( ) and the line is parallel to the vector and passes through the point . The shortest distance between the lines and is:

A
B

C
D

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Text Solution

Verified by Experts
The correct answer is:
A

The line is parallel to the vector
and passes through the point . The line is parallel to the vector and passes through the point .

Equations of the Lines:

Equation of :

Equation of :

Shortest Distance Between and :
The formula for the shortest distance between two skew lines is given by:

Distance
Calculations:

Vector between the points:

Cross product of direction vectors:

Magnitude of the cross product:

Dot product:

Shortest Distance:

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