Question

Orthocentre of the triangle formed by the lines x + y = 1 and xy = 0 is

• A. (0,0)
• B. (0,1)
• C. (1,0)
• D. (-1,1)

Answer 1

The correct option is A

(0,0)

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 Orthocentre is (0, 0).