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For real a, b, c if a^(2) + b^(2) + c^(...

For real a, b, c if ` a^(2) + b^(2) + c^(2)= ab + bc + ca` then value of `(a+ c)/( b)` is

A

1

B

2

C

3

D

0

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The correct Answer is:
B
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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A
  1. If 2^(x)=3^(y)=6^(-z), then the value of 1/x+1/y+1/z-

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  2. If (1)/( x + y) = (1)/(x) + (1)/(y) ( x ne 0, y ne 0, x ne y) then t...

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  3. For real a, b, c if a^(2) + b^(2) + c^(2)= ab + bc + ca then value ...

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  4. If x+(1)/(x)=5 then (2x)/(3x^(2)-5x+3) is

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  5. If x^(4) +(1)/(x^(4)) =119 and x gt 1 then what is the value of x^(3)-...

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  6. If (x+y-z)^(2) +(y+z-x)^(2) +(z+x-y)^(2)=0 then what is the value o...

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  7. If x - y = ( x + y)/(7) = (xy)/(4) the numerical value of xy is

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  8. If x + y + z = 0 then (x^(2))/(yz) + (y^(2))/( zx)+ ( z^(2))/( xy)=...

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  9. If x + y = a and xy = b^(2) then the value of x^(3) - x^(2) y - x...

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  10. If (3a+1)^(2) +(b-1)^(2) +(2c-3)^(2)=0, then value of (3a+b+2c) is

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  11. If xy ( x + y) = 1 ,then the value of (1)/( x^(3) y^(3)) - x^(3) -...

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  12. If frac(x)(2x^2+5x+2)=frac(1)(6), then the value of (x+frac(1)(x)) is

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  13. Value of the expression ((a-b)^(2))/((b-c) (c-a)) +((b-c)^(2))/((a-b) ...

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  14. If 3x+(1)/(2x)=5 then what is the value of 27x^(3)+(1)/(8x^(3))?

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  15. If (a-3)^(2)+(b-4)^(2) +(c-9)^(2)=0 then what is the value of sqrt(a+b...

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  16. If average of x and (1)/(x) (x ne 0) is M then what is the average ...

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  17. If a,b, c are real and a^(2) + b ^(2) + c ^(2) = 2 (a - b - c) -3, the...

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

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  19. If 5x^(2) -4xy +y^(2) -2x +1=0 then value of x+y is

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  20. If x= b + c - 2a , y = c + a - 2 b , z = a + b -2 c then the value o...

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