Discuss the nature of the triangles formed by the lines
x + y - 4 = 0 , 3x + y - 4 = 0 , x + 3y -4 = 0

Isosceles

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scalene

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Right angled

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None of these

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Solution

The correct option is A Isosceles
Ref Above Image

In $Δ A P Q$ :

$A P = A Q = \sqrt{(} 10)$ .

Hence two sides of a triangle are equal then $Δ A P Q$ is an isosceles triangle.

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