Chapter: Co-ordinate Geometry· Mathematics Part 2 (Geometry)
Answer: x = 6 or x = 0
By distance formula, \(\sqrt{(x - 3)^2 + (2 - (-2))^2} = 5\).
Squaring, \((x - 3)^2 + 16 = 25\) \(\therefore (x - 3)^2 = 9\) \(\therefore x - 3 = 3\) or \(x - 3 = -3\).
\(\therefore x = 6\) or \(x = 0\). Both points (6, 2) and (0, 2) are at distance 5 from (3, –2).