The Centroid of the triangle formed by the lines 6x^ 2 +xy-y^ 2 =0 and x+3y-10=0 is

MHT CET 2022 Mathematics question

The Centroid of the triangle formed by the lines and is

Answer: (C)

Factorise , giving the lines and through the origin. Vertices: O(0, 0). with : , so . with : , so :

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Question ID VK-097198