Home Maths Coordinate Geometry (3D) Mix The straight lines whose direction cosines a…
Maths Coordinate Geometry (3D) Mix Single Correct MCQ
Published on: August 12, 2026

The straight lines whose direction cosines are given by are perpendicular, if

A
B
C
D

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The correct answer is:
A

From the first relation,

Put the value of n in second relation,

or

.....(i)

Now if and be direction cosines of two lines, then from (i)

,

or

Similarly, elimination of l will yield

(Say)

We know that the lines are perpendicular, if

i.e., or .

Note: Student should remember this question as a fact.

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