Question
Question: If the points A(6, –1), B(1, 3) and C(x, 8) be such that AB = BC, then x =...
If the points A(6, –1), B(1, 3) and C(x, 8) be such that
AB = BC, then x =
A
–3, 5
B
3, – 5
C
–3, –5
D
3, 5
Answer
–3, 5
Explanation
Solution
AB = BC
Ž (6 – 1)2 + (3 + 1)2 = (x – 1)2 + (8 – 3)2
Ž (x – 1)2 = 4
Ž x – 1 = ± 4
Ž x = 5, – 3