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If x,y,z be variable quantities such tha...

If x,y,z be variable quantities such that (x+y+z) is constant and `(z+x-2y)(x+y-2z) prop yz` then show that `[2(y+z)-x]propyz`.

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
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  2. If x prop y+z , y propz+x and z prop x+y, and the constant of variat...

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

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

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

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

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

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