JEE Main & Advanced Sample Paper JEE Main Sample Paper-47

  • question_answer
    Which of the following line is tangent to the curve, \[y={{x}^{2}}-x\]

    A)  \[x-y=0\]                    

    B)  \[x+y=0\]

    C)  \[x-y=2\]                    

    D)  \[x+y=1\]

    Correct Answer: B

    Solution :

     Given curve, \[y={{x}^{2}}-x\] When \[x-y=0\] or \[y=x\] from Eq. (i) \[{{x}^{2}}-2x=0\] its discriminant \[D\ne 0\] When \[x+y=0\] or \[y=-x\] from Eq. (i) \[{{x}^{2}}=0\] its discrimanat D = 0 Hence, \[x+y=0\] is a tangent.

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