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2014-08-17T22:32:10+05:30

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See diagram.
C can be at two locations such that  AC = 5 units.

let C = (-1, y)
Then AC² = (y-2)²+(-1+4)²  = y²+ 4 -4y  + 9 = y² -4y +13  = 25 (given)
So  y² - 4 y - 12 = 0    it is easy to factorize it:
(y +2 ) (y -6) = 0        y = -2 or  +6.

So  C = (-1, -2)  or  (-1, +6)

2 5 2