Question

the coordinate of a point A, where AB is diameter of a circle whose center is (3,-4) and B is (1,4) is? ​

Answer 1

Answer:

A(5,-12)

Step-by-step explanation:

let , co-ordinate of a point A(x,y)

A-----O-----B

1 : 1

we know that,

middle point (O)= (x1+x2)/2,(y1+y2)/2

(3,-4) = ( (x+1)/2 , (y+4)/2 )

so,

(x+1)/2 = 3, x+1 = 6, x = 5.

(y+4)/2 = -4, y+4 = -8, y = -12.

point A = (5,-12).