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Q.

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

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a

isosceles and right angled

b

isosceles but not right angled

c

right angled but not isosceles

d

neither right angled nor isosceles

answer is A.

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Detailed Solution

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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