Coordinate Geometry Question 118
Question: Orthocentre of the triangle formed by the lines $ x+y=1 $ and $ xy=0 $ is
[Orissa JEE 2004]
Options:
A) (0, 0)
B) (0, 1)
C) (1, 0)
D) (-1, 1)
Show Answer
Answer:
Correct Answer: A
Solution:
Given lines are $ x+y=1 $ and $ xy=0 $ when $ x=0 $ , then $ y=1 $ when $ x=1 $ , then $ y=0 $
$ \therefore $ (0, 1) and (1, 0) are the vertices of triangle. Clearly, triangle is right-angled isosceles. Orthocentre of right-angled triangle is same as the vertex of right angle. Therefore point of intersection of $ x+y=1 $ and $ xy=0 $ is (0, 0).
BETA
