Question

Find the coordinates of a point A where AB is diameter of a circle whose centre is (2, -3) and B (1, 4).
Class 10, Coordinate geometry
Please give step by step answer

Answer 1

Given : AB is diameter of a circle whose centre is (2, -3) and B (1, 4).

To find : Coordinate of A

Solution:

AB   is Diameter of circle

A = ( x , y)

B = ( 1 , 4)

Center of Circle = (2  , - 3)

Center of circle is mid point of AB

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

=> 4 = x + 1       ,  -6 = y + 4

=> x = 3        , y = -10

A = ( 3 , -10)

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