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If a^2+b^2+c^2 =16, x^2+y^2+z^2 = 25 an...

If `a^2+b^2+c^2 =16, x^2+y^2+z^2 = 25` and `ax+by+cz = 20`, then show that `(a+b+c) prop (x+y+z)`

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. If ax+by prop sqrt(xy), then show that (ax)^2+(by)^2 prop xy,

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

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

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

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

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  16. Does the point (–2.5, 3.5) lie inside, outside or on the circle x^2 + ...

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  19. A straight line L interesect the sides BC, CA and BA of triangleABC at...

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