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Question: f the points A(6, – 1), B(1, 3) and C (x, 8) be such that AB = BC, then x=...

f 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\sqrt{(6 - 1)^{2} + (3 + 1)^{2}}

= (x−1)2+(8−3)2\sqrt{(x - 1)^{2} + (8 - 3)^{2}}

Ž (x – 1)2 = 16 Ž x – 1 = ± 4 Ž x = 5, – 3