Question

Find the centre of circle, if the coordinates of two ends of diameter are $(-1,7)$ and $(11,5)$

• A. $(5,6)$
• B. $(-3,2)$
• C. $(10,12)$
• D. $(12,2)$

Answer 1

Answer: (A)

$(5,6)$

Since centre of circle is the mid-point of the diameter of the circle.

$x=\frac{11+(-1)}{2}=5$ and $y=\left(\frac{5+7}{2}\right)$ $=6$ (using mid-point formula for centre).
$\therefore (5,6)$ is the centre