Question

in the distance between the points (4, K) and (1,0) is 5 then what can be the possible values of k

Answer 1

let (4,K) be equivalent to (x1,x2)
     (1,0) be equivalent to (x1,x2)
 distance formula= under root{ (x2-x1)square - ( y1-y2 )square }
                           = under root{ ( 1-4) square - (0-K)square}
                           =under root { (-3)square - (-K) square}
                         5 =under root { 9-K^2 }
                       by squaring
                       25=9-K^2
                       K^2=25-9
                      K^2=16
              K=4 or K=(-4)