Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The family of line x(3a + 2b) + y(a – 2b) = 4a – 3b passes through a point for all values of a and b. Then point will be-
Text Solution
Verified by ExpertsThe correct answer is:
D
Line (3x + y – 4) a + b (2x – 2y + 3) = 0
(3x + y – 4) +
(2x – 2y + 3) = 0
L 1 + λ L 2 = 0 form
Where λ = 
⇒ 3x + y – 4 = 0
2x – 2y + 3 = 0
on solving we get x = 5/8, y = 17/8 point (5/8, 17/8).
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
A line passes through (2, 2) and is perpendicular to the line . Its y -intercept is
The reflection of the point (4, –13) in the line is
The image of a point in the line , is
The coordinates of the foot of perpendicular drawn from (2, 4) to the line is
The image of the point (3, 8) in the line x + 3y = 7 is
If a, b, c are in A.P, then ax + by + c = 0 represents