Question

If A(6, –1), B(1, 3) and C(k, 8) are three points such that AB = BC, find the value of k.

Answer 1

Explanation:

We have, A(6−1),B(1,3),C(x,8)

Also, AB=BC

⇒AB

2

=BC

2

⇒(1−6)

2

+(3+1)

2

=(x−1)

2

+(8−3)

2

⇒25+16=(x−1)

2

+25

⇒(x−1)

2

=16

⇒x−1=±4

⇒x=1±4

⇒x=5,−3