Question

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

• A. (0, 0)
• B. $\left( \frac{1}{2},\frac{1}{2} \right)$
• C. $\left( \frac{1}{3},\frac{1}{3} \right)$
• D. $\left( \frac{1}{4},\frac{1}{4} \right)$

Answer 1

Answer: (A)

(0, 0)

Answer 2

Lines represented by $xy = 0$is $x = 0$, $y = 0$. Then the triangle formed is right angled triangle at O(0, 0), therefore O(0, 0) is its orthocenter