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If ` x prop y, y prop z ` and ` z prop x, ` then find the product of three non-zero variation constant.

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`x prop y rArr x = k_1y(K_1 =` non- zero variation constant )
`rArr k_1 = x/y ….. (1)`
`y prop z rArr k_2 z (k_2= ` non-zero variation constant )
`rArr k_1 =y/z …….. (2)`
`z prop x rArr z = k_2 x (k_3 ` non - zero variation constant )
`rArr k_3 = z/x ....... (3)`
now multiplying (1),(2) and (3) we get `k_1k_2 k_3 = x/y xx y/z xx z/x `
or d`k_1 k_2 k_3= 1 `
Hence the produc of non- zero variation constant is 1.
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CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
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  2. If a prop1/b, then

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  3. If a prop b, then

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  5. If x propsqrt(y) and y=16 when x =3 . If y =64 ,then the positive valu...

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  6. If x^3 prop sqrt(y) and y =16 when x=4 then y=1 when x=2 .

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  7. If x varies inversely with y, then the value of (x+y) will be least wh...

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  10. If x^2 prop a^2 then a prop

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  16. If A varies directly with B and C both , then show that A varies direc...

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  17. If a/b prop (a+b) and b/a prop (a-b) , then show that a^2 -b^2 = const...

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  18. If (x+y) prop z when y is constant and (z+x) prop y when z is cons...

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  19. If x,y,z are variables , but (y+z-x) is a constant and if (x+y-z) prop...

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