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If a,b,c,d are in continued proportion t...

If a,b,c,d are in continued proportion then show that `(b-c)^2+(c-a)^2+(b-d)^2= (a-d)^2`.

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UNITED BOOK HOUSE-RK MISSION BOYS' HOME HIGH SCHOOL-EXERCISE
  1. y is sum of two variables, one in which varies directly with x and ano...

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  2. If x=(4ab)/(a+b) then show that (x+2b)/(x-2b)+(x+2b)/(x-2b)=2.

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  3. If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+...

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  4. State and Prove Pythagoras theorem.

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  5. Prove that if any straight line passing through the centre of a circle...

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  6. The two chords AB and AC of a circle are equal, prove that the bisecto...

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  7. Two acute angled traingle ABC and PQR are similar. Their circumcentres...

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  8. Draw a right angled triangle whose adjacent sides of the right angle a...

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  9. Draw a square whose area is equal to a rectangle of 6cm length and 3 c...

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  10. Express 40^@16'24''in radian.

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  11. Find the value/values of theta(0^@ le theta le 90^@) for which 2 sin t...

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  12. If sin 17^@ = x/y show that sec 17^@-sin 73^@ = x^2/(ysqrt(y^2-x^2).

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  13. If the angle of elevation of the top of monument when observed from a ...

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  14. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

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  15. 127 2/7 sq.cm of sheet is required to make a hemispherical bowl. Calcu...

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  16. If a solid silver sphere of diameter of 6 cm is melted and re-casted i...

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  17. Half of the cuboidal water tank with length 2.1m and breadth of 1.5m i...

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  18. Find the mode from following freqeuncy distribution table.

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  19. Find the median of given data :

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  20. Draw an ogive (less than type) from the following frequency distributi...

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