Question

find the value of x,yif the distances of the point(x,y)from(-3,0)as well as from(3,0)are 4

Answer 1

The distance between (x,y) from (-3,0) is

root (x+3)^2 + y^2 = 4

(x+3)^2 + y^2 = 16

x^2 + y^2 + 6x - 7 = 0  ---- (1)

The distance between (x,y) from (3,0) is

root (x-3)^2 + y^2 = 4

x^2 + y^2 - 6x - 7 = 0 ----- (2)

On solving (1),(2), we get

x = 0

substitute x = 0 in (1), we get

y^2 - 7 = 0

y = root 7.


Hope this helps!