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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The equation x3+x2y−xy2−y3=0x^3+x^2 y-x y^2-y^3=0 represents three straight lines passing through the origin such that
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Correct option: A
Two of them are coincident and two of them are perpendicular
Option A (Two of them are coincident and two of them are perpendicular) is correct because the equation x3+x2y−xy2−y3=0x^3+x^2 y-x y^2-y^3=0 represents three straight lines, where two are coincident and two are perpendicular.

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If ax2+2hxy+by2+2gx+2fy+c=0a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 represents parallel straight lines, then Image of the point (−1,3)(-1,3) with respect to the line y=2xy=2 x is If the pair of lines represented by ax2+2hxy+by2+2gx+2fy+c=0a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 intersect on yy-axis, then If the sum of the slopes of the lines given by 4x2+2λxy−7y2=04 x^2+2 \lambda x y-7 y^2=0 is equal to the product of the slopes, then λ\lambda is equal to The equation 3x2+2hxy+3y2=03 x^2+2 h x y+3 y^2=0 represents a pair of straight lines passing through the origin. The two lines are The value of hh for which 3x2−3hxy+4y2=03 x^2-3 h x y+4 y^2=0 represents a pair of coincident lines are
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