WBJEE · Maths · Pair of Lines
The equation \(x^{3}-y x^{2}+x-y=0\) represents
- A a hyperbola and two straight lines
- B a straight line
- C a parabola and two straight lines
- D a straight line and a circle
Answer & Solution
Correct Answer
(B) a straight line
Step-by-step Solution
Detailed explanation
\(x^{3}-y x^{2}+x-y=0\) \(x^{2}(x-y)+(x-y)=0\) \(\left(x^{2}+1\right)(x-y)=0\) \(x^{2}+1 \neq 0\) \(x-y=0\) \(x=y\) So, the equation represents a straight line.
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