Question

4. If A(10,13) and B(2,5) are
coordinates of endpoints of
diameter of circle, then the
*
centre of the circle is​

Answer 1

Answer:

(6, 9) is the centre of circle

Step-by-step explanation:

diameter end points are A and B

A = (10, 13) B = (2, 5)

x1 = 10 x2 = 2

y1 = 13 y2 = 5

midpoint

$( \frac{x1 + x2}{2} \: \: \frac{y1 + y2}{2} ) \\ = ( \frac{10 + 2}{2} \: \: \frac{13 + 5}{2} ) \\ = ( \frac{12}{2} \: \: \: \frac{18}{2} ) \\ = (6 \: . \: 9)$

the co-ordinates of circle is (6, 9)

Hope you get your answer