Question
Question: ABC is a variable triangle such that A is (1, 2), B & C lie on the line y = x + l (l is variable) th...
ABC is a variable triangle such that A is (1, 2), B & C lie on the line y = x + l (l is variable) then locus of ortho centre of DABC is-
A
x + y = 0
B
x – y = 0
C
x2 + y2 = 4
D
x + y = 3
Answer
x + y = 3
Explanation
Solution
Q as altitude from A is fixed and orthocentre lies on altitude hence x + y = 3 is required locus.