Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If4a 2 + 9b 2 – c 2 + 12ab = 0, then the family of straight lines ax + by + c = 0 is concurrent at :
Text Solution
Verified by ExpertsThe correct answer is:
A
since 4a 2 + 9b 2 – c 2 + 12ab = 0
⇒ (2a + 3b) 2 – c 2 = 0
⇒ (2a + 3b + c) (2a + 3b – c) = 0
⇒ 2a + 3b + c = 0
or 2a + 3b – c = 0
⇒ – 2a – 3b + c = 0
∴ ax + by + c is concurrent at
(2, 3) or (– 2, – 3)
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
If the lines , and
be concurrent, then
If the lines and are concurrent, then b equals
The straight lines where ,
will be concurrent, if point is
The straight lines of the family x(a + b) + y (a – b) = 2a (a and b being parameters) are
If the lines x = a + m, y = –2 and y = mx are concurrent, the least value of |a| is
If and are both in G.P. with the same common ratio, then the point , and