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Question

If B(1,3) is equidistant form A(6,1) and C(x,8), then x=

A
2,5
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B
2,5
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C
3,5
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D
3,5
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Solution

The correct option is B 3,5

Given Points

A(6,1)B(1,3)C(x,8)

Distance from A to B

AB=(16)2+(3+1)2

AB=52+42

AB=25+16

AB=41

So the Distance from B to C is 41

BC=(x1)2+(83)2

41=x22x+1+25

41=x22x+26

x22x15=0

(x+3)(x5)=0

x=3,5


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