Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Consider the family of lines 5x + 3y - 2 + 
(3x - y - 4) = 0 and x - y + 1 + 
(2x - y - 2) = 0. The equation of a straight line that belongs to both the families is
Text Solution
Verified by ExpertsThe correct answer is:
A
5x - 2y - 7 = 0
All lines of the family 5x + 3y -2 = 0 and (3x - y -4) = 0 are concurrent.
The point of concurrency is (1, -1)
Similarly, the point of concurrency of lines of the other family is (3,4)
The line of both families is the line passing through (1,-1)& (3,4)
Equation of the required line is 5x - 2y - 7 = 0
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
The distance of the point (-1, l) from the line 12 (x + 6) = 5 (y - 2) is
If the straight line drawn through the point and inclined at an angle with the x - axis meets the…
The line 3x + 2y = 24 meets the y-axis at A & the x-axis at B. The perpendicular bisector of AB mee…
Let in coordinates of vertex A is (0, 0) . Equation of the internal angle bisector of is x + y -1…
The sum of all the values of | | such that the lines x + 2y - 3 = 0, 3x - y –1 = 0 and 2 x + y - …
If the line segment joining P (2,3) and Q (5,7) subtends a right angle at R (x, y) and the area of …