Question

find the coordinates of a point A , where AB is the diameter of a circle whose centre is (2,-3) and B is (1,4).
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Answer 1

Answer:

Step-by-step explanation:

If AB is diameter of a circle, then the center of a circle is a midpoint of a segment.

Coordinates of a midpoint are

( $\frac{x_{1} +x_{2} }{2}$ , $\frac{y_{1} +y_{2} }{2}$ )

A( x , y )

B(1, 4)

O(2, - 3)

$\frac{x +1}{2}$ = 2 ⇒ x = 3

$\frac{y+4}{2}$ = - 3 ⇒ y = - 10

A(3, - 10)