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CGP EDU Academic Team
Published on: August 13, 2026
The orthocentre of the triangle formed by the lines x + y = 1, 2x + 3y = 6 and 4x – y + 4 = 0 lies in-
Text Solution
Verified by ExpertsThe correct answer is:
A
Intersection point of x + y = 1 and 2x + 3y = 6 is (–3, 4)
Altitude through (–3, 4) and perpendicular to the line 4x – y + 4 = 0 is
x +4y – 13 = 0 … (1)
Intersection point of x + y = 1 and 4x – y + 4 = 0 is 
Altitude through 
and perpendicular to the line
2x + 3y = 6 is
3x – 2y + 5 = 0 … (2)
Solving equations (1) and (2), we have
H = 
which lies in the first quadrant.
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