Problem Solving

zareentaj wrote:The centre of circle which touch the y-axis at (0,3) and making an intercept of 2 units on the positive x-axis, is:
(a) (10,sqrt{3})
(b) (sqrt{3},10)
(c) (sqrt{10},3)
(d) (3,sqrt{10})

kvcpk wrote:

zareentaj wrote:The centre of circle which touch the y-axis at (0,3) and making an intercept of 2 units on the positive x-axis, is:
(a) (10,sqrt{3})
(b) (sqrt{3},10)
(c) (sqrt{10},3)
(d) (3,sqrt{10})

It is given that the circle touches the y-axes at (0,3)
Which means y-axis is perpendicular to the line drawn from centre to (0,3)

This means that y-coordinate of the centre will be 3.

pick C

4GMAT_Mumbai wrote:KVCPK ... That was my initial approach too ... But, distance of OA is not equal to OB assuming that A is (0.3) and B is (2,0) ... Hence, I suppose c is not the answer ..