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Answer any One queation : Prove that, if a perpendicular is draw on the hypotenuse from the right angled triangle, two triangles so formed on the two sides of the perpendicular are each similar to the original triangle and also similar to each other.

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UNITED BOOK HOUSE-KANACHI HIGH SCHOOL-EXERCISE
  1. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the median of heights of the students from the following frequenc...

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  20. Calculate the mode of the following frequency distribution table.

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