Question

The coordinates of orthocenter of a triangle formed by the coordinates O(0, 0), A(p, 0), B(0, q) are .

• A. (0, 0)
• B. None of these
• C. $(\frac{p}{2},\frac{q}{2})$
• D. $(\frac{p}{3},\frac{q}{3})$

Answer 1

The correct option is A (0, 0)

$\Delta$ OAB is a right angled triangle with right angle at the vertex O.
Hence, the orthocenter which is the intersection point of all three altitudes, lie at the origin, i.e. (0, 0).