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Questions  

The equation x2y29y2+6x2y+54y=0 represents

a
a pair of straight lines and a circle
b
a pair of straight lines and a parabola
c
a set of four straight lines forming a square
d
None of these

detailed solution

Correct option is C

We havex2y2−9y2−6x2y+54y=0or y2(x2−9)−6y(x2−9)=0or y(y−6)(x−3)(x+3)=0or y=0, y=6, x=3, x=−3So, the given equation represents four straight lines which form a square

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