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(bz+cy)/a=(cx+az)/b=(ay+bx)/c then prove...

`(bz+cy)/a=(cx+az)/b=(ay+bx)/c` then prove `x/(a(b^2+c^2-a^2))=y/(b(c^2+a^2-b^2))=z/(a(a^2+b^2-c^2))`

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UNITED BOOK HOUSE-SPRINGDALE HIGH SCHOOL-EXERCISE
  1. If (3x-4y) prop sqrt(xy) then show that (x^2+y^2) prop xy.

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  2. Using the properties of proportion, solve for x, given (x^4+1)/(2x^2)=...

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  3. (bz+cy)/a=(cx+az)/b=(ay+bx)/c then prove x/(a(b^2+c^2-a^2))=y/(b(c^2+a...

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  4. Prove that the front angle formed at the centre of a circle by an arc,...

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  5. State and Prove Pythagoras theorem.

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  6. Prove that "The greatest chord of circle is its diameter".

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  7. Prove that cyclic trapezium is isoscles trapezium and the length of it...

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  8. Geometrically calculate the value of sqrt(23). (Only traces of constru...

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  9. Draw a right angled triangle length of hypotenuse and one of another s...

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  10. The angles of a triangle are x^@,(x+y)^@ and (x+2y)^@. The ratio of nu...

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  11. If (1+sinA)( 1+sinB)(1+sinC) = (1-sinA)(1-sinB)(1-sinC), then prove th...

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  12. Find value of ((tan20^@)/(cosec 70^@))^2+((cot20^@)/(sec70^@))^2+2tan1...

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  13. If the angle of elevation of the top of a Monument when observed form ...

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  14. The shadow of a flagstaff is three times as long as the shadow of the ...

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  15. Half of the total surface area of a rectangular parallelopiped is equa...

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  16. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

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  17. If a wooden log with a shape of rectangular parallelopiped with square...

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  18. The mean monthly salary of all employees in a company is Rs, 6000. Th...

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  19. Draw Ogive of the following frequency distribution and find median fro...

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  20. The given frequency distribution table shows the age of 200 members o...

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