Home Maths Coordinate Geometry (3D) Mix If and are d.c.’s of two lines inclined to…
Maths Coordinate Geometry (3D) Mix Single Correct MCQ
Published on: August 14, 2026

If and are d.c.’s of two lines inclined to each other at an angle θ θ , then the d.c.’s of the internal bisectors of angle between these lines are

A
B
C
D

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The correct answer is:
B

Let OA and OB be two lines.

D.c.’s of OA is and OB is .

Let OA = OB = 1.

Then the co-ordinates of A and B are and .

Let OC be the bisector of ∠ ∠ AOB .

Then C is the mid-point of AB and so its co-ordinates are .

∴ ∴ D.r.’s of line OC are

We have,

.

D.r.’s of line OC are

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