Question

The orthocentre of the triangle $ABC$ is $B$ and the circumstances is $S(a,b)$. If $A$ is the origin, then the coordinates of $C$ are:

• A. $(2a,2b)$
• B. $(\frac{a}{2},\frac{b}{2})$
• C. $\sqrt{(a^2+b^2,0)}$
• D. None

Answer 1

Answer: (A)

$(2a,2b)$

Orthocentre of $△ABC$ is $B⟹△ABC$ is a right triangle with right angle at $B$

$⟹S(a,b)$ is mid point of $AC$

$C=(2a,2b)$