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If a b+b c+c a=0 , then what is the v...

If `a b+b c+c a=0` , then what is the value of `(1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b))` ? (a) 0 (b) 1 (c) 3 (d) `a+b+c`

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Knowledge Check

  • 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
  • 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
    2
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