The coordinates of a point A, where AB is diameter of a circle whose center is (2,3) and B is (1,4)?

(a) (3,-10)

(b) (-3,10)

(c) (1,-10)

(d) none of these 

Asked by ashleshathakur124 | 10th Feb, 2020, 09:36: PM

Expert Answer:

Centre of a circle is a mid - point of a diameter.
 
Let the coordinate of a point A be (x, y).
begin mathsize 16px style rightwards double arrow fraction numerator straight x space plus space 1 over denominator 2 end fraction equals space 2 space and space fraction numerator straight y space plus space 4 over denominator 2 end fraction space equals space 3
rightwards double arrow straight x plus space 1 space equals space 4 space and space straight y space plus space 4 space equals space 6
rightwards double arrow straight x space equals space 3 space and space straight y space equals space 2 end style
 
Therefore, the coordinate of a point A is (3, 2).
 
Correct Option: D

Answered by Yasmeen Khan | 11th Feb, 2020, 11:11: AM