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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Condition for common roots, Quadratic expressions and Position of roots

  • question_answer
    If \[x\] be real, the least value of \[{{x}^{2}}-6x+10\] is [Kurukshetra CEE 1998]

    A) 1

    B) 2

    C) 3

    D) 10

    Correct Answer: A

    Solution :

    If  \[{{x}^{2}}-6x+10={{(x-3)}^{2}}+1\] For real x, least value of \[{{(x-3)}^{2}}+1\]is 1.


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