Question

P is a point which moves in the x-y plane such that the point P is nearer to the center of a square than any of the sides. The four vertices of the square are (±a, ±a). The region in which P will move is bounded by parts of parabolas of which one has the equation 

(a)  y² = a² + 2ax 

(b)  x² = a² + 2ay

(c)  y² + 2ax = a²

(d) All

Answer 1

Correct option (d) All of these

Explanation: 

If P = (x,y) then