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If a=x/(x+y) and b=y/(x-y) , then (a b)/...

If `a=x/(x+y)` and `b=y/(x-y)` , then `(a b)/(a+b)` is equal to `(x y)/(x^2+y^2)` (b) `(x^2+y^2)/(x y)` (c) `x/(x+y)` (d) `(y/(x+y))^2`

A

`(xy )/( x ^(2) + y ^(2))`

B

`(x ^(2) + y ^(2))/( xy)`

C

`(x )/(x + y)`

D

`((y)/( x + y)) ^(2)`

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The correct Answer is:
A
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S CHAND IIT JEE FOUNDATION-ALGEBRAIC EXPRESSIONS AND IDENTITIES -QUESTION BANK
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  2. What is the value of the expression (1+x)(1+x^2)(1+x^4)(1+x^8)(1-x)...

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

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

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

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

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

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

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

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

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

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

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

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  16. The value of the product (7- (12)/(x)) ( 49 + (84)/(x) + (144)/(x ^(2)...

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  17. The value of 64 a ^(3) + 48 a ^(2) b + 12 a ^(2) b + b ^(3) at a =1 ...

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  18. Evaluate: ((0. 43) ^(3) + (1. 47) ^(3) + (1.1) ^(3) - 3 xx 0. 43 xx ...

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  19. If (x^2+y^2+z^2-64)/(x y-y z-z x)=-2 and x+y=3z , then the value of...

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  20. If (a ^(2) + b ^(2)) ^(3) = (a ^(3) + b ^(3)) ^(2) and ab ne 0, then (...

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