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f(x)=x^2+xg'(1)+g''(2) and g(x)=x^2f(1)+...

`f(x)=x^2+xg'(1)+g''(2)` and `g(x)=x^2f(1)+xf'(x)+f''(x)`.
the value of `f(1)` is-

A

1

B

0

C

-1

D

-2

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • f(x)=x^2+xg'(1)+g''(2) and g(x)=x^2f(1)+xf'(x)+f''(x) . the value of g(0) is-

    A
    0
    B
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    A
    `(-infty,1]cup(2,3]`
    B
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    C
    `(-infty,0]cup(2/3,3]`
    D
    none of these
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