Question
Question: ABC is a variable triangle such that A is (3, 2) and B and C lie on line y = 2x +l (where l is a var...
ABC is a variable triangle such that A is (3, 2) and B and C lie on line y = 2x +l (where l is a variable), then locus of the orthocenter of triangle ABC is-
A
x + 2y = 0
B
x + 2y – 7 = 0
C
(x –1)2 + y2 = 4
D
x2 + (y –1)2 = 4
Answer
x + 2y – 7 = 0
Explanation
Solution
As altitude from A is fixed and orthocenter lies on the altitude, so required locus y – 2 = 2−1 (x –3)
Ž x + 2y – 7 = 0