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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The equation x3+ax2y+bxy2+y3=0x^3+a x^2 y+b x y^2+y^3=0 represents three straight lines, two of which are perpendicular, then the equation of the third line, is
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Correct option: C
y=xy=x
Option C (y=xy=x) is correct because it is the third line when two of the three lines represented by x3+ax2y+bxy2+y3=0x^3+a x^2 y+b x y^2+y^3=0 are perpendicular.

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