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Questions  

A triangle with vertices (4,0),(1,1)( 3, 5), is

a
isosceles and right angled
b
isosceles but not right angled
c
right angled but not isosceles
d
neither right angled nor isosceles

detailed solution

Correct option is A

Let ABC be the triangle with vertices A ( 4, 0), B (-1, -1) and C (3, 5). Then,AB=AC=26and BC=52Clearly, AB2+AC2=BC2Hence, the triangle is right-angled isosceles triangle

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