Question

Find the relation between x and y if the point M (x,y) is equidistant from R (0,9) and T (14 , 11).

Answer 1

Given : MR = MT

∴ MR² = MT²

(x - 0)² + (y - 9)² = (x - 14)² + (y - 11)²

x² + y² + 81 - 18y = x² + 196 - 28x + y² + 121 - 22y

81 - 18y = 196 - 28x +121 - 22y

28 x - 18 y + 22 y = 196 + 121 - 81

28 x + 4y = 236

7x + y - 58 = 0