How can one find the equation of the locus of the point P , if the points A -LRB- 1 , 2 -RRB- , B -LRB- 3 , 4 -RRB- are at an equal distance from P ?
Find the equation of the locus of a point P = -LRB- x , y -RRB- when the sum of the squares of the distances from P to the points -LRB- a , 0 -RRB- and -LRB- - a , 0 -RRB- is 4b ^ 2 , where b > = a/sqrt -LRB- 2 -RRB- ?