Home Maths Coordinate Geometry (3D) Mix If the direction ratio of two lines are give…
Maths Coordinate Geometry (3D) Mix Single Correct MCQ
Published on: August 14, 2026

If the direction ratio of two lines are given by and , then the angle between the lines is

A
B
C
D

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Text Solution

Verified by Experts
The correct answer is:
A

We have, ……(i)

……(ii)

From equation (i),

Putting the value of l in equation (ii)

⇒ ⇒

⇒ ⇒ ⇒ ⇒

⇒ ⇒

⇒ ⇒ or

……(i)

……(iii)

……(iv)

From equation (i) and equation (iii),

From equation (i) and equation (iv),

Thus, the direction ratios of two lines are and

, .Hence, the angle between them π π /2.

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