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Solve: (a+x)^(2//3)+2(a-x)^(2//3) = 3(a^...

Solve: `(a+x)^(2//3)+2(a-x)^(2//3) = 3(a^2-x^2)^(1//3)`

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. If x>y prove that sqrt(y+sqrt(2xy-x^2))+sqrt(y-sqrt(2xy-x^2)) = sqrt(...

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  2. Solve for x, when sqrt(2x^2 + 9) + sqrt(2x^2 - 9) = 9 + 3sqrt7

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  3. Solve: (a+x)^(2//3)+2(a-x)^(2//3) = 3(a^2-x^2)^(1//3)

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  4. Find the area of a sector of a circle with radius 6 cm if angle of the...

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  5. If x prop y+z , y propz+x and z prop x+y, and the constant of variat...

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  6. If x,y,z be variable quantities such that (x+y+z) is constant and (z+x...

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  7. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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  8. The radii of two circles are 8 cm and 6 cm respectively. Find the diam...

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  9. If ax+by prop sqrt(xy), then show that (ax)^2+(by)^2 prop xy,

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  10. If y prop 1/x then show that x+y will be minimum when x=y.

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  11. If a^2+b^2+c^2 =16, x^2+y^2+z^2 = 25 and ax+by+cz = 20, then show tha...

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  12. At the starting of the year two friends Bhaskar and Indrajit starts a...

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  13. Samiran and Monojit start a business with a capital of Rs. 60,000 and ...

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  14. At the starting of the year two friends Bhaskar and Indrajit starts a...

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  15. The value of a machine depreciates at the rate of 10% every year.It wa...

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  16. The value of a plot of land increase by 3% every year. If the value of...

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  17. By compound interest, the interest of a sum in the 2nd year is Rs. 880...

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  18. If the compound interest of Rs.6400 in 18 months be Rs. 1008.80. Find ...

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  19. Rs, 16820 is divided among two brothers aged 27 years and 25 years. Th...

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  20. The simple interest in 3 years and compound interest in 2 years on a c...

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