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Question

Coordinate of the vertices of ΔABC are (12,8), (2,6) and (6,0) then the correct statement(s) are?

A
Triangle is right but not isosceles
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B
Triangle is right as well as isosceles
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C
Triangle is obtuse
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D
The product of abscissae of the centroid, orthocentre and circumcentre is 160
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Solution

The correct option is B Triangle is right as well as isosceles
Given A(12,8) B(2,6) C(6,0)
AB=(12+2)2+(86)2
=142+22
=200
BC=(26)2+(60)2
=82+62
=100=10
CA=(126)2+(60)2
=62+62
=10
AB2=200,BC2=100,CA2=100
as BC2+CA2=AB2
it is right ed triangles

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