Question

If the point A(a,2) is equidistant from the points B(8,-2)
and C(2,-2), find the value of a.

Answer 1

Answer:

Using distance formula

AB

2

=AC

2

⇒(a−8)

2

+(2+2)

2

=(a−2)

2

+(2+2)

2

⇒a

2

−16a+64+16=a

2

−4a+4+16

⇒−16a+64=−4a+4

⇒−16a+4a=4−64

⇒−12a=−60

⇒a=5