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Which of the following equation does not represent a pair of lines ?A. `x^(2)-x=0`B. `xy-x=0`C. `y^2-x+1=0`D. `xy+x+y+1=0` |
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Answer» Correct Answer - C `x^(2)-x=0` `Rightarrow x(x-1)=0` `Rightarrow x=0 and x=1` Which represent a pair of lines. `xy-x=0` `Rightarrow x(y-1)=0` `Rightarrow x=0, y=1` Which represent a pair of lines. `y^(2)-x+1=0` `Rightarrow y^2=(x-1)` Which represent a parabola. Thus, it does not represent a pair of lines. `xy+x+y+1=0` `Rightarrow x(y+1)+(y+1)=0` `Rightarrow (y+1)(x+1)=0` `Rightarrow u=-1 and x=-1` Which represent a pair of lines. |
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