The direction cosines
, of one of the two lines connected by the relations
are
Text Solution
Verified by ExpertsA
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.
Similar Questions
Explore conceptually related problems