find the coordinate of a point A where AB is the diameter of a circle whose center is C(1 , -3 ) and B is (-2 , -5 )
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Answer:
x=4 and y= -1
Step-by-step explanation:
let coordinate of A be (x,y)
AB is a straight line whose centre is C
so we know
C(1,-3) =( coordinate of A+ coordinate of B)/2
C( 1,-3) =[ {x+(-2)}/2 {y+(-5)}/2]
C( 1,-3) =[ (x-2)/2 (y-5)/2]
so
( x-2)/2=1 (y-5)/2= -3
x-2=2 y-5= -6
x=2+2 y= -6 +5
hope it helps.
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