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If x:y::5:2, then (x ^(2) - xy + y ^(2...

If `x:y::5:2,` then
`(x ^(2) - xy + y ^(2))/( x ^(2) + xy + y ^(2)) = ?`

A

`(68)/(35)`

B

`(19)/(39)`

C

`(17)/(86)`

D

`(15)/(23)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-RATIO & PROPORTION-QUESTIONS
  1. a: (b +c) ::1:3 c: (a+b) ::5:7 find b: (a+c) = ?

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  2. If x:y::5:2, then (x ^(3) - y ^(3))/( x ^(3) + y ^(3)) = ?

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  3. If x:y::5:2, then (x ^(2) - xy + y ^(2))/( x ^(2) + xy + y ^(2)) = ?

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  4. If x:y::5:2, then (xy - x ^(2))/(x ^(2) + y ^2) = ?

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  5. If x:y::5:2, then (x ^(2) +y)/(x + y ^(2)) =?

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  6. If (a +b) : (b +c) : (c +a) ::6:7:8 & a+b+c= 14 then find c=?

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  7. If (a +b) : (b +c) : (c +a) ::6:7:8 & a+b+c= 14 then find c=?

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  8. If a :b::3:4 & b:c:: 4:7. then (a +b + c)/( c ) = ?

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  9. If (4x^2-3y^2):(2x^2+5y^2)=12:19 then x:y=

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  10. If Q = (p + q + r )/(2) & (Q-p ) : (Q-q) : (Q -r)::17:5:8. then p :q:r...

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  11. In a triangle ABC, (s-a): (s-b) : (s -c) ::11 : 8: 7 where s is semi p...

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  12. If (x -y +z) : (y - z + 2w) : (2x + z-w) =2: 3:5, then (3x + 3z - 2w):...

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  13. What is the mean proportional of 3 + sqrt2 , 12 - sqrt32

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  14. What is the mean proportional of (15+ sqrt200) and (27- sqrt 648)?

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  15. The third proportional to (x/y + y/x) andsqrt(x^2 + y^2) is

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  16. What is the fourth proportional of 18,24,30.

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  17. What is the fourth proportional of x ^(2) -y ^(2) , x + y , x -y.

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  18. The mean proportional between 45 and a certain number is three times t...

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  19. If the mean proportional between X and Y is n times the third proporti...

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  20. If (x)/(y) = 3/4 , then (2x + 3y)/( 3x - 2y) = ?

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