Question

Write the coordinates of the centre of the circle inscribed in the square formed by the lines x = 2, x = 6, y 5 and y = 9.

Answer 1

Circle is inscribed in the square formed by lines x = 2, x = 6, y 5 anti y = 9
It is a square of side 4
Thus, abscissae of centre $=\frac{2+6}{2}=4$
Ordinate of centre $=\frac{5+9}{2}=7$
Centre of the circle $=(4,7)$