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Question

The straight lines x + y = 0, 3x + y-4 = 0, and x + 3y - 4 = 0 form a triangle which is 


Correct Answer
A
isosceles
Your Answer
B
equilateral
Your Answer
C
Right-angled
Your Answer
D
None of these

Solution

The correct option is A isosceles
Solving the given equation of lines pairwise, we get the vertices of triangle as A(2,2), B(2,2), C(1,1). Then,
AB=16+16=42BC=1+9=10CA=9+1=10
Hence, the triangle is isosceles.

 

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