Question

A bird lover at P( x, y, z) from a house watches two birds sitting on the

branches of another tree at A (2,5,8) and B(3,7,2) such that AP = BP show

that 2x+4y-12z+31 = 0​

Answer 1

Answer:

AP = BP

On squaring

» (x - 2)² + (y - 5)² + (z - 8)²

= (x - 3)² + (y - 7)² + (z - 2)²

» - 4x - 10y - 16z + 4 + 25 + 64

= -6x - 14y - 4z + 9 + 49 + 4

» 2x + 4y - 12z + 31 = 0

Hence, proved.