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If `x/(y+z)=a ;\ y/(z+x)=b` and `z/(x+y)=c` , then `1/(1+a)+1/(1+b)+1/(1+c)` is equal to (a) 2 (b) 3 (c) 6 (d) `x+y+z`

A

`a+b+ c`

B

`3`

C

`2`

D

`1`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-CONDITIONAL IDENTITIES-MULTIPLE CHOICE QUESTIONS
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  3. If a+b+c=0, then (1)/( b^(2) + c^(2) - a^(2) ) +(1)/( c^(2) + a^(2) - ...

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  4. If x+y+z=0, then (x^2)/( yz) + (y^2)/( zx) + (z^2)/( xy) is equal to

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  5. If a+b+ 2c=0, then the value of a^(3) + b^(3) + 8c^(3) is equal to

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  6. Evaluate the expression ((x-y)^(3) + (y-z)^(3) + (z-x)^(3) )/( (x-y) (...

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  7. If x=a(b-c),\ \ y=b(c-a),\ \ z-c(a-b) , then the value of (x/a)^3+(y/b...

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  8. If a+b+ c=0, then (a^(2)+ b^(2) + c^(2) )/( ab+ bc+ca) is equal to

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  9. If a+b+c=0 then the value of ((a+b)(b+c) (c+a) )/(abc) is

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

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  11. If a+ b+ c=0 then the value of (a+ b+ c)^(3) - (a^(3) - b^(3) -c^(3) )...

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  12. If a b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c ...

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  13. If x/(y+z)=a ;\ y/(z+x)=b and z/(x+y)=c , then 1/(1+a)+1/(1+b)+1/(1+c)...

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  14. If a+ b=2c, then (a)/( a-c)+ ( c) /(b-c) is equal to

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  15. (a^2-b^2-2b c-c^2)/(a^2+b^2+2a b-c^2) is equivalent to (a-b+c)/(a+b...

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  16. If a= (x+y)/( z) , b= (y+z)/( x) and c= (z+ x)/( y), then the value of...

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  17. If a^(2) = b+ c, b^(2) = c+ a, c^(2) =a+b , then the value of (1)/( a...

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  18. If x=a+b, y= b+c , z=c+a, then the value of (x^(3) + y^(3) + z^(3) - 3...

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  19. If x=a^(2) - bc, y=b^(2) - ca, z=c^(2) - ab then what is the value of ...

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  20. If (a+b+c)^(2) = 3 (ab+ bc+ ca), then which one of the following is tr...

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