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    Maths-
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    Question

    e equation cos to the power of 8 end exponent invisible function application x plus b cos to the power of 4 end exponent invisible function application x plus 1 equals 0 will have a solution if b belongs to

    1. open parentheses negative infinity comma 2 close square brackets  
    2. open square brackets 2 comma blank infinity close parentheses  
    3. open parentheses negative infinity comma blank minus 2 close square brackets  
    4. None of these  

    The correct answer is: open parentheses negative infinity comma blank minus 2 close square brackets

      cos to the power of 8 end exponent invisible function application x plus b cos to the power of 4 end exponent invisible function application x plus 1 equals 0
      rightwards double arrow b equals negative open parentheses cos to the power of 4 end exponent invisible function application x plus fraction numerator 1 over denominator cos to the power of 4 end exponent invisible function application x end fraction close parentheses less or equal than negative 2 blank for all x element of R
      rightwards double arrow b element of open parentheses negative infinity comma blank minus 2 close parentheses

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