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CGP EDU Academic Team
Published on: August 14, 2026
The equation of the locus of the foot of perpendicular drawn from (5,6) on the family of lines (x -2) + 
(y -3) = 0 (where 
R) is
Text Solution
Verified by ExpertsThe correct answer is:
C
(x - 2) (x - 5) + (y - 3) (y - 6) = 0
Let A = (5,6) and the point of concurrency of the family of lines (x - 2) + 
(y -3) = 0 is (2,3) = B and foot of the perpendicular from A tothe family of lines is P = (h, k)
Now, PA is perpendicular to PB
(slope of PA) x (slope of PS) = -1
locus is (x - 2) (x - 5) + (y- 3) (y-6) = 0
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