Question

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

Answer 1

Correct Answer - D
The equation of the family of circles touching y-axis at (0, 2) is
`(x-0)^(2)+(y-2)^(2)+lambda x = 0 ` ...(i)
It passes through (-1, 0).
`1+ 4-lambda=0 rArr lambda = 5`
So, the equation of the circle is `x^(2)+5x+y^(2)-4y+4=0`
Clearly, it passes through (-4, 0).