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

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

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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

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

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

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

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

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

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

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

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

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

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

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

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  15. In triangleABC, anglaBAC = 90^@ , if CD is a median of triangleABC, th...

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  16. The side BC of a triangle ABC is bisected at D; O is any point in AD. ...

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  17. Two tangents AB and AC drawn from an external point A of a circle touc...

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

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  19. O is a point inside the trianglePQR and frm O,OA,OB,OC are perpendicul...

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  20. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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