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Question

Incentre of triangle whose vertices are A(-36,7), B(20,7), C(0,-8), is


A

(0,-1)

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B

(0,0)

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C

(-1,0)

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D

(-1,-1)

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Solution

The correct option is C

(-1,0)


a=BC=(200)2+(7+8)2=25b=CA=(360)2+(7+8)2=39and c=AB=(36+20)2+(7+7)2=56I=(25(36)+39(20)+56(0)25+39+56,25(7)+39(7)+56(8)25+39+56)I=(1,0)Hence,(c) is the correct answer.


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