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If f(x)=(ax + b)sinx+(cx +d)cos x, then ...

If `f(x)=(ax + b)sinx+(cx +d)cos x`, then the values of a b, c and d such that `f"(x)=xcos x` for all x, then (a + b + c + d)is

A

a = d = 1

B

b = 0

C

c = 0

D

b = c

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • If f (x) =(ax +b)/( cx +d) and (fof) x= x, then

    A
    a=b=1
    B
    `d=a`
    C
    `d=-a`
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  • Let f (x) = (ax + b)/(cx+d) , then fof(x) = x , provided that :

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    d=-a
    B
    d=a
    C
    a=b=1
    D
    a=b=c=d=1

  • If a function f(x)=(ax+b)/(cx+d) is such that (f@f)(x)=x , then

    A
    `d=-a`
    B
    `d=a`
    C
    `a=b=1`
    D
    `a=b=c=d=1`

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