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Question

A(4,4),B(3,5) and C(1,1) are the vertices of


Your Answer
A
an equilateral triangle
Correct Answer
B
a right angled triangle
Your Answer
C
an isosceles triangle
Your Answer
D
None of these

Solution

The correct option is B a right angled triangle
In ΔABC
m1= slope of AB=5434=1
m2= slope of AC=1414=1
m3= slope of BC=5+13+1=32
Clearly, m1m2=1.
ABAC ie.,
CAB=π2
Hence, the given points are the vertices of a right angled triangle.
 

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