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

If `a + b + c = 0 ` , then the value of `((a + b)^(2))/(ab) + ((b + c)^(2))/( bc) + ((c + a)^(2))/(ca)` is

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If a+b+c=0 , then the value of (a^(2)+b^(2)+c^(2))/(bc+ca+ab) is

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

  • If (a^(2) - bc)/( a^(2) + bc)+ (b^(2) - ca)/( b^(2) + ca) +(c^(2) - ab)/(c^(2) + ab) = 1 then the value of (a^(2))/(a^(2) + bc) + (b^(2))/( b^(@) + ac) + (c^(2))/(c^(2) + ab) is

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