Question

find the values of x,y if the distance of the point(x,y)from(-3.0)as wellas from(3,0)are4.

Answer 1

The point will be on y-axis.Therefore by distance formula,
${y}^{2} + {3}^{2} = {4 }^{2} \\ y = \sqrt{7} \: or \: y = - \sqrt{7 } \\ therefore \: the \: points \: are \\ (0. \sqrt{7} ) \: and \: (0. - \sqrt{7} )$