Question

9.
It the coordinates of the end points of a diameter of a circle are A(1, 2) and
B(5, 6), find the coordinates of the centre of the circle​

Answer 1

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Answer 2

Answer:

P(3,4)

Step-by-step explanation:

Let the unknown point be P(x,y

Given = A(1,2) B(5,6)

We know that radius is the centre of the circle

Using the mid point formula

$x = \frac{x2 + x1}{2} , y = \frac{y2 + y1}{2}$

Here A(1,2) = X1,Y1

B(5,6) = X2,Y2

$x = \frac{5 + 1}{2} , \: \: \: \: y = \frac{6 + 2}{2}$

$x = \frac{6}{2} \: \: \: , \: \: \: \: \: y = \frac{8}{2}$

$x=3,y=4$

Hence the coordinates of point P are 3,4