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If a alpha b and b alpha c, show that a^...

If a `alpha b` and `b alpha c`, show that `a^3+b^3+c^3 alpha 5 abc`.

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UNITED BOOK HOUSE-KANACHI HIGH SCHOOL-EXERCISE
  1. If 5 times of a positive whole number is less by 3 than twice of its s...

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  2. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, show that (x^2+xy+y^2)/(...

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  3. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  4. If a^2/(b+c)=b^2/(c+a)=c^2/(a+b)=1, show that 1/(1+a)+1/(1+b)+1/(1+c)=...

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  5. If x/(lm-n^2)=y/(mn-l^2)=z/(nl-m^2), then show that lx+my+nz=0

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  6. Answer any One queation : Prove that, if a perpendicular is draw on t...

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  7. Prove that if two tangents are drawn to a circle from a point outside ...

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

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  9. A straight line intersects one of the two concentric circles at the po...

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  10. Draw the incircle of an equilateral triangle of side 7 cm.

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  11. Geometrically find the value of sqrt(21),

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  12. Sum of two angles is 135^@ and their difference is pi^c/12. Find the s...

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  13. If sin theta+ sin^2 theta = 1, prove that cos^2 theta+ cos^4 theta = ...

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  14. If x tan 30^@ + y cot 60^@ = 0,2x-y tan 45^@ = 1, then find the value ...

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  15. The height of two towers are 180 metres and 60 metres respectively. If...

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  16. A telegraph post is bent at a point above the ground due to storm. Its...

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  17. The length of radius of cross-section of a solid circular rod is 3.2 d...

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  18. The ratio of length breadth and height of a cuboid is 3:2:1 and its vo...

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  19. Three spheres made of copper having the lengths of 3 cm. 4 cm and 5 cm...

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  20. Ages of 100 patients in a hospital of Mahidual's locaity are given bel...

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