Question

Find the coordinate of a point A, where AB is a diameter of a circle whose centre is ( 2, -3 ) .

Answer 1

let A (X,Y)
WHERE O AS CENTRE (2,-3)
and B( 1,4)
coordinate of A :-
x+1/2=2     as the mid point formula   [x₁+y₁/2 ,y₁+y₂/2]
⇒x+1=4
⇒x=3
y+4/2=-3
⇒y+4=-6
⇒y =-10
so,the coordinates of A (3,-10)