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The function f(x)=sqrt((ax^(3)+bx^(2)+cx...

The function `f(x)=sqrt((ax^(3)+bx^(2)+cx+d))` has its nonzero local minimum an d maximum values at x=-2 andx=2 , repectively . If a is a root of `x^(2)-x-x6=0` , then match the following

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The correct Answer is:
A-s;B-p;C-q;D-r
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Knowledge Check

  • If f(x)=ax^(5)+bx^(3)+cx+d is odd then

    A
    `a=0`
    B
    `b=0`
    C
    `c=0`
    D
    `d=0`

  • The condition that f(x)=ax^3+bx^2+cx+d has no extreme value, is

    A
    `b^gt3ac`
    B
    `b^gt4ac`
    C
    `b^=3ac`
    D
    `b^lt3ac`

  • The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

    A
    `b^2=4ac`
    B
    `b^2=3ac`
    C
    `b^2lt 3ac`
    D
    `b^2gt 3ac`

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