Knocking Sides

Geometry Level pending

A line A B AB of length 2 l 2l moves with the end A A always on the x x -axis and the end B B always on the line y = 6 x y=6x . Find the equation of the locus of midpoint of A B AB .

9 x 2 + 9 y 2 + 6 x y − 9 l 2 = 0 9x^2+9y^2+6xy-9l^2=0 10 x 2 + 9 y 2 − 6 x y − 9 l 2 = 0 10x^2+9y^2-6xy-9l^2=0 10 x 2 − 9 y 2 − 9 l 2 = 0 10x^2-9y^2-9l^2=0 9 x 2 + 10 y 2 − 6 x y − 9 l 2 = 0 9x^2+10y^2-6xy-9l^2=0

Nishant Kumar by nishant kumar , 21, India

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