Home Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 12 PCM The direction cosines , of one of the two l…
Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 12 PCM Single Correct MCQ
Published on: August 14, 2026

The direction cosines , of one of the two lines connected by the relations are

A
B

C
D

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A

From the first relation, . Putting this value of l in second relation

Note that it, being quadratic in m, n, gives two sets of values of m, n, and hence gives the d.r.s. of two lines.
Now, factorizing it, we get

Taking we get .
Also putting in , we get

Thus, we get, or
⇒ d.r.'s of one line are .
Hence, the dc's. of one line are

Taking , we get

Putting this value in , we obtain

Thus
⇒ the d.r's of the second line are ; and hence d.c.s. of second line are

──────────────────────────────────────────────────────────────────────────────────────────

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.