Question

The centre of the circle passing through $(0,0)(a,0)$ and $(0,b)$ is

• A. $(a,b)$
• B. $\left(\frac{a}{2},\frac{b}{2}\right)$
• C. $(-\frac{a}{2},-\frac{b}{2})$
• D. $(-a,-b)$

Answer 1

The correct option is B $\left(\frac{a}{2},\frac{b}{2}\right)$

The three points form a right angled triangle. Hence the circumcentre will be the midpoint of the hypotenuese .

Hence, the coordinates of the centre $=(\frac{a}{2},\frac{b}{2})$