JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

Three sides of a triangle have the equations ; . Then , where , is the equation of the circumcircle of the triangle if

Answer: (C)

Solution

Each product vanishes at the vertex where and meet. At every vertex two of the three lines vanish, so every term of is zero there. The curve is a second-degree curve through all three vertices. It is the circumcircle exactly when it is a circle, i.e.

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Question ID VK-108887