The orthocenter of the triangle formed by the lines `xy=0 and x+y=1` is

Options

A. `(1//2,1//2)`
B. `(1//3,1//3)`
C. `(0,0)`
D. `(1//4,1//4)`

Answer

3

Explanation

The lines by which triangle is formed are `x=0,y=0and x+y=1`. Clearly , it is a right triangle . We know that in a right angled triangle , the orthocenter coincides with the vertex at which right angles is formed . Therefore , the orthocenter is (0,0).