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If a + b + c = 0, then find the value of...

If `a + b + c = 0`, then find the value of `(1)/((a + b)(b+c)) + (1)/((a+c)(b+a)) + (1)/((c+a)(c+b))`.

A

1

B

0

C

`-1`

D

-2

Text Solution

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The correct Answer is:
B
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  • If a + b + c = 0 then the value of (1)/((a + b) ( b + c)) + (1)/(( a + c) ( b + a))+ (1)/( ( c + a) ( c + b)) is

    A
    1
    B
    0
    C
    `-1`
    D
    `-2`

  • If a + b + c =0 then the value of (1)/((a + b ) (b + c)) + (1)/( (b + c ) (c + a)) + (1)/((c+ a) (a+ b))

    A
    0
    B
    1
    C
    3
    D
    2

  • If a + b + c = 0 then the value of (1)/((a + b) ( b + c)) + (1)/( ( b + c) ( c + a)) + (1)/(( c + a) ( a + b)) is

    A
    0
    B
    1
    C
    3
    D
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