Question
Tue July 10, 2012 By: Thomas Albin
 

The circle passing through the point (-1,0) and touching the y axis at (0,2)also passes through the point ? : 1.(-3/2,0) 2.(-5/2,2) 3.(-3/2,5/2) 4.(-4,0)

Expert Reply
Wed July 11, 2012
Circle touching y-axis at (0, 2) is (x - 0)2 + (y - 2)2 + ax = 0
It passes through (- 1, 0)
So, 1 + 4 - a = 0
This gives a = 5
 
So, the equation of the cirlce is
x2 + y2 + 5x - 4y + 4 = 0
Put y = 0  x = - 1, - 4
So, Circle passes through (- 4, 0)
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