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If x^2+y^2+z^2= xy+yz+zx then find the v...

If `x^2+y^2+z^2= xy+yz+zx` then find the value of (x+y):z.

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. If x= 5+2sqrt6 then find the value of sqrtx+1/sqrtx.

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  2. If one of the common root of the quadracti equations x^2+bx+12=0 and ...

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  3. If x^2+y^2+z^2= xy+yz+zx then find the value of (x+y):z.

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  4. If 1/x-1/y alpha 1/(y-x), show that x alpha y.

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  5. Ratio of the area of two similar triangle is 16:25. find the ratio of...

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  6. Radii of two circles are 2 cm and 3 cm and the distance between the ce...

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  7. AOB is a diameter of a circle having centre.O. C is any point on it. I...

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  8. In triangle ABC, AB = (2a-1)cm,AC = 2sqrt(2a)cm, BC = (2a+1)cm, find ...

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  9. If the volume and lateral surface of a right circular cone are numaric...

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  10. If the length of radius of a sphere is increased by 50%, then how much...

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  11. If the height of two right circular cylinder are in the ratio of 1:2 a...

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  12. The length of two adjacent walls of a room are 12m and 8 m respectivel...

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  13. Find the minimum value of (9 tan^2 theta+4 cot^2 theta) when 0^@lethet...

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  14. Find the value of (2 sin^2 63^@+1+2sin^2 27^@)/(3cos^2 17^@-2+3cos^2 7...

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  15. If tan alpha.tan2alpha = 1 then find the value of cos2alpha.

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  16. If 0^@lethetale90^@ then show that sin theta+ cos theta>1.

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  17. If the mean of 7,(x-3),10,(x+3) and (x-5) is 15, then find the median ...

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  18. If ui = (xi-25)/10, sumfiui = 20 and sumfi = 100 then find the value o...

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  19. At the same rate of simple interest in percent per annum, if a princip...

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  20. If simple interest and compound interest of a certain sum of money for...

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