Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

Answer-

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

Solution-

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

Two equations are formed because one will be upper from the the given line and other will be below it.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)