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

  • question_answer
     The smallest value of \[{{x}^{2}}-3x+3\] in the interval \[(-3,\,3/2)\] is [EAMCET 1991; 93]

    A) 3/4

    B) 5

    C) -15

    D) -20

    Correct Answer: A

    Solution :

    \[{{x}^{2}}-3x+3={{\left( x-\frac{3}{2} \right)}^{2}}+\frac{3}{4}\] Therefore, smallest value is \[\frac{3}{4}\], which lie in \[\left( -3,\frac{3}{2} \right)\]


You need to login to perform this action.
You will be redirected in 3 sec spinner