1.

Find the separate equations of the lines represented by following equation:3x2 – 10xy – 8y2 = 0

Answer»

3x2 – 10xy – 8y2 = 0

∴ 3x2 – 12xy + 2xy – 8y2 = 0

∴ 3x(x – 4y) + 2y(x – 4y) = 0

∴ (x – 4y)(3x +2y) = 0

∴ the separate equations of the lines are 

x – 4y = 0 and 3x + 2y = 0.



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