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The equation x^(3)+x^(2)y-xy^(2)=y^(3) ...

The equation `x^(3)+x^(2)y-xy^(2)=y^(3)` represents

A

three real straight lines

B

lines in which two of them are perpendicular to each other

C

lines in which two of them are coincident

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
1 , 2 , 3
The equation is
`x^(2)(x+y)-y^(2)(x+y)=0`
or `(x+y)^(2)(x-y)=0`
It represents the lines `x+y=0,x+y=0,x-y=0`.
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