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If x+y+z=0 , then x^2+x y+y^2 equals y^2...

If `x+y+z=0` , then `x^2+x y+y^2` equals `y^2+y z+z^2` (b) `y^2-y z+z^2` (c) `z^2-z x+x^2` (d) `z^2+z x+x^2`

A

`y ^(2) + yz + z ^(2)`

B

`y ^(2) - yz + z ^(2)`

C

`z ^(2) - xy`

D

`z ^(2) + zx + x ^(2)`

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The correct Answer is:
C
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S CHAND IIT JEE FOUNDATION-ALGEBRAIC EXPRESSIONS AND IDENTITIES -QUESTION BANK
  1. Which of the following expressions are exactly equal in value ? 1. ...

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  2. What will be the value of n ^(4) -10 n ^(3) + 36 n ^(2) - 49 n + 24 ...

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  3. If x+y+z=0 , then x^2+x y+y^2 equals y^2+y z+z^2 (b) y^2-y z+z^2 (c) ...

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  4. if a-b=3 and a^3-b^3=117 then a+b is

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  5. If a + b + c =0, then what is the value of (a + b -c) ^(3) + (c + a -b...

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  6. If a ^(1//3) + b ^(1//3) + c ^(1//3) = 0, then the value of (a + b + c...

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  7. What is the value of the expression (1+x)(1+x^2)(1+x^4)(1+x^8)(1-x)...

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  8. Polynomial which when divided by (-x^2+x-1) gives a quotient (x -2) ...

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  9. Divide the polynomial 3x^4-4x^3-3x-1 by x-1

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  10. If a=x/(x+y) and b=y/(x-y) , then (a b)/(a+b) is equal to (x y)/(x^2+y...

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  11. If a^2+b^2=117 and a b=54 , then find the value of (a+b)/(a-b) .

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  12. If a ^(2) + (1)/( a ^(2)) = 10, then the value of a ^(4) + (1)/( a ^(4...

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  13. If (a^4+1/(a^4))=1154 , then the value of (a^3+1/(a^3))=? (a) 1...

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  14. If (x+1/x)=3 , then the value of (x^6+1/(x^6)) is (a) 322 (b) 36...

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  15. If a + b + c = 0. then the value of a ^(2) (b + c) + b ^(2) (c + a) ...

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  16. If x =3 ^(1//3) + 3 ^(- 1//3) , then 3x ^(3)- 10 is equal to

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  17. If a,b,c are real and distinct nubmer , then the value of ((a -b)^(3) ...

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  18. If a+b+c=11 and a b+b c+c a=20 , then the value of the expression a...

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  19. The value of (x^2-(y-z)^2)/((x+z)^2-y^2)+(y^2-(x-z)^2)/((x+y)^2-z^2...

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  20. If 2a - (1)/(2a) = 3, then 16 a ^(4) + (1)/(16 a ^(4)) is equal to

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