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If (u^2+v^2) prop (x^2 +y^2 ) and uv pr...

If `(u^2+v^2) prop (x^2 +y^2 ) ` and `uv prop xy` then show that `(u+v) prop (x+y) when u/v+v/u=x/y +y/x` .

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CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
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  2. If ax^2+2hxy+by^2 prop z^2 and (lx+my) prop z where a,b,h,l,m are co...

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  3. If (u^2+v^2) prop (x^2 +y^2 ) and uv prop xy then show that (u+v) pro...

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  4. The area of circle varies directly as its radius . If the radius be 2 ...

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  5. The volume of a pyramid varies jointly as the height and the area of...

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  6. The volume of a right circualr cylinder varies as the square of the r...

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  7. The distance through which a heavy body falls from rest varies as the ...

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  8. If a stone falls s ft in t seconds from rest s propt^2 . If it is obs...

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  9. Pressure (=P)in a liquid varies as the depth (=d) when the density (=D...

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  10. The time of going from one place to another varies directly as the dis...

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  11. A locomotive engine without wagons can go 35 km per hour and its speed...

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  12. Consumption of coal by an engine varies as the square of its speed. Wh...

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  13. A piece of diamond is broken into three pieces, the weights of the pie...

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  14. Three rings made of gold and set with diamonds are of the same weight...

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  15. The value of diamond varies as the square of their weights and the squ...

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  16. The price of a diamond is rs 2000 . The diamond is broken into to equ...

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  17. A valuable piece of stone whose price is rs 15600 breaks into three pi...

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  18. If x prop (1)/(y^2) then in what ratio x changes when y changes at a r...

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  19. if x prop z and y prop z, then xy prop z .

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  20. if (px^3+qy^3) prop (ax^3+by^3),then show that x prop y

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