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If x prop (1)/sqrt(a) , then a prop...

If x `prop (1)/sqrt(a) , then a prop`

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The correct Answer is:
`(1)/(x^2)`
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CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
  1. If (A^2+B^2 ) prop (A^2-B^2)then show that A prop

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

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  3. If x prop (1)/sqrt(a) , then a prop

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  4. If x^2 prop yz ,y^2 prop zx and z^2 prop xy, then find the product of...

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  5. y prop x^2 and y=9 when x =9 . If y =4 then find the value of x .

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  6. Given that A =B +C , where B prop x^2 and C prop x^3 . If x =1 , the...

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  7. If a prop b^2 and (1+b) prop sqrt© and if a=1 , then c=9 and b=5 , t...

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

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

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

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

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  12. If x prop (y+z) , y prop (z+x) and z prop(x+y) and if k, l and m are ...

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  13. A variable is the sum of two such quantities one of which varies dire...

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  14. A large sphere is made by melting two gold - spheres of raii r and r r...

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  15. 2 men can cultivate 6 acres of land in 4 days . By using theory of var...

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  16. 15 men can cultivate 18 bighas of land in 5 days. By using theory of v...

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  17. If 5 men can cultivate 10 acres of land in 9 days,then by usnig theory...

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  18. In a fort there was reserved enough food of 2400 soldires for 39 days...

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  19. If 5 men working 6 hours a day can complete a work in 20 days , in how...

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  20. The length of a pendulum varies inversely as the square of the number ...

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