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The attraction force of a satellite of a...

The attraction force of a satellite of any planet varies directly with the mass (M) of the planet and inversely with the square of their distances . Again the square of the period of the rotation of the satellite varies directly with the distance between them and inversely with the attraction force. if `m_1, d_1 , t_1 and m_2 ,d_2,and t_2 ` be two sets of corresponding values of M (mass) , D (Distance) and T (time) , them prove that `m_1t_1^2d_2^3 =m_2t_2^2d_1^3`.

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CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
  1. Consumption of coal by an engine varies as the square of its speed. Wh...

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

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

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

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

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

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

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

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

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  10. If (x^6+(1)/(y^6)) prop (x^6-(1)/(y^6)) , then prove that y prop 1/x .

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  11. If (1)/(y^n)+(1)/(z^n)prop (1)/(Y^n+z^n) then prove that y prop z .

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  12. if x prop (z)/(y^2) and z^2 prop (y) /(x) then prove that x prop (1)/(...

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  13. If a prop b^4 ,b^5 prop c^6 , c^7 prop d^8 and d^9 prop p^4 then prov...

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  14. If x prop yz^2 ,y prop pq^2 and zoo q/p then prove that q^4 prop px.

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  15. If x prop y and y prop z , then prove that (x^7+y^7 +z^7) prop (x^5y^...

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  16. If x prop y and y prop z, then show that (x^m+y^m+z^m) prop (x^3y^(...

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  17. (px+qy+rz) prop (msqrt(yz)+nsqrt(zx)+tsqrt(xy)) (where P,q,r,m,n,t ar...

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  18. If a prop b^(2) , b^(3) prop c^(4) , c^(5) prop d^(6) and d^(7) prop e...

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  19. In the speech of a professor , the number of students present in the s...

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  20. The attraction force of a satellite of any planet varies directly with...

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