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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-9

  • question_answer
    If cos \[\pi x={{x}^{2}}-x+\frac{5}{4}\], the value of x will be

    A) 0         

    B)                    1

    C) \[-1\]                            

    D) None of the above

    Correct Answer: D

    Solution :

    \[\cos \,\pi x={{x}^{2}}-x+\frac{5}{4}\] \[={{x}^{2}}-2.x.\frac{1}{2}+\frac{1}{4}-\frac{1}{4}+\frac{5}{4}\] \[={{\left( x-\frac{1}{2} \right)}^{2}}+1>1\] \[-1\,\,\underline{\,<}\,\,\cos \,\,x\,\underline{<}\,\,\,1\]


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