Find all points having an xcoordinate of 1 whose distance fr

Find all points having an x-coordinate of 1 whose distance from the point (- 3, - 1) is 5. The point(s) is(are) (Type an ordered pair Use a comma to separate answers as needed)

Solution

Let (1,y ) is a point whose distance from the point (-3,-1) is 5

=> (1+3) ^2 + (y+1) ^2 = 5^2

=> 4^2 + (y+1) ^2 = 25

=> (Y+1) ^2 = 25-16

=> (y+1)^2 = 9

=> y+1 = +- 3

=> y+1 = 3 , y+1 = -3

=> y = 2 , y= -4

So two possible pair

(1,2) and (1,-4)