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Three Points on a Line

If A, B and C...

Question

If A, B and C are three points that are collinear with AB = BC and AC = 6, then BC = _____.

A

BC =2

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B

BC = 6

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C

BC = 3

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D

BC = 12

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Solution

The correct option is C BC = 3
A, B and C are the three points.
so,
AB + BC = AC
AB = BC (given)
$∴$ 2BC = AC
$\Rightarrow$ 2BC = 6 ( $∵$ AC = 6)
$∴$ BC = 3

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