Question

18. Let A (6, - 1), B (1, 3) and C (x, 8) be three
points such that AB = BC. Find the value of x
(A) 3
(B) - 3,5
(C) 5
(D)3,5​

Answer 1

Answer:

Hope this will help you.

Step-by-step explanation:

Correct option is

B

−3,5

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