Question

The point (3,-4) is the centre of the
circle. If AB is a diameter of the
circle and B is (5-6), find the
coordinates of A​

Answer 1

Answer:

A = ( 1 , - 2)

Step-by-step explanation:

GIVEN:

Centre= (2,−3)

B=(5,-6).

Let (x,y) be the coordinate of A.

now, using midpoint formula.

={x1 + x2/2, y1 + y2/2}

= {x + 5 /2, y + (-6)/2}

{x + 5/2} = 3 , {y - 6/2}= - 4

x + 5 = 3 x 2 , y - 6 = - 4 x 2

x + 5 = 6 , y - 6 = - 8

x = 6 - 5 , y = - 8 + 6

x = 1 , y = -2

Therefore coordinates of A is ( 1, - 2 )