Question

The point P on x-axis equidistant from the points A(-1,0) and B(5, 0) is(a) (2,0)(b) (0, 2)(c) (3, 0) (d) (2, 2)​

Answer 1

Answer:

a) (2,0)

Step-by-step explanation:

P(x,0) as  it lies on x-axis

PA = PB

square on both sides

(PA)² = (PB)²

(x+1)² +(0+0)²  = (x-5)² +(0+0)²

x² +2x +1       = x² -10x +25

x²- x² +2x +10x  =25 - 1

               12x  = 24

               x = 2