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If a^(3) - b ^(3) - c^(3) - 3abc = 0 t...

If ` a^(3) - b ^(3) - c^(3) - 3abc = 0 ` then

A

a=b=c

B

`a+b+c=0`

C

`a+c=b`

D

`a=b+c`

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The correct Answer is:
D
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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A
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  3. If a^(3) - b ^(3) - c^(3) - 3abc = 0 then

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  4. If x ^(2) - 3 x + 1 =0, then what is the value of x ^(3) + (1)/(x ^(3...

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  5. If 2x + (1)/(3x) = 5, the value of (5x )/( 6x ^(2) + 20 x + 1 ) is

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  6. If m + (1)/( m - 2) = 4 find the value of (m - 2) ^(2) (1)/( ( m - 2)^...

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  7. If a ^(2)= b + c, b ^(2) = a + c, c ^(2) = b +a , then what will be t...

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  8. IF (a )/( 1 - a) + (b)/( 1 - b) + (c)/(1 - c) = 1 then the value of ...

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  9. If a^(2) + b^(2) + 2b + 4a + 5 = 0 , then the value of (a - b)/( a + ...

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  10. If (x)/(( b - c) ( b + c - 2a)) = (y)/(( c - a)( c + a- 2 b)) = (z)/(...

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  11. If (x^(3) +3x)/(3x^(2)+1)=(189)/(61) then value of x is

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  12. If (x^(2)+y^(2)) (p^(2) +q^(2)) =(xp +yq)^(2) then

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  13. If (x)/(2x+y+z) =(y)/(x+2y+z) =(z)/(x+y+2z) then each terms is equal t...

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  14. If p^(2) (a^(2) +b^(2) +c^(2)) -2p (ab +bc +cd) +(b^(2) +c^(2) +d^(2))...

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  15. If b+c =10, c +a =20 , a+b =30 then value of a^(3) +b^(3) +c^(3) is

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  16. If b+c = 2x, c+a =2y and a +b =2z then value of a^(3) +b^(3) +c^(3) i...

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  17. If a+b +c =0 then value of a^(3) +b^(3) +c^(3) is

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  18. Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

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  19. If a+b+c =p, abc =q and ab+bc +ca =0 then what is the value of a^(2) b...

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  20. If a= 89, b= -69, c= 8 then the value of 9(a+b)^(2) +49 c^(2) -42 (a+b...

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