Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the lines x = a + m, y = –2 and y = mx are concurrent, the least value of |a| is
Text Solution
Verified by ExpertsThe correct answer is:
C
Since the lines are concurrent –2 = m(a + m)
⇒ ⇒ m 2 + am + 2 = 0.
Since m is real, a 2 ≥ ≥ 8, |a| ≥ ≥ 2 √ √ 2.
Hence the least value of |a| is 2 √ √ 2
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 and are both in G.P. with the same common ratio, then the point , and
Three lines 3x – y = 2, 5x + ay = 3 and 2x + y = 3 are concurrent, then a =