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If x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1...

If `x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1` then show that `a/(a+x)+b/(b+y)+c/(c+z)=1`

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UNITED BOOK HOUSE-SUJAPUR HIGH SCHOOL-EXERCISE
  1. Simplify : sqrt5/(sqrt2+sqrt3)-(3sqrt3)/(sqrt2+sqrt5)+(2sqrt2)/(sqrt3...

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  2. If x+y alpha x-y show that x^3+y^3 alpha x^3-y^3.

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  3. If x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1 then show that a/(a+x)+b/(b+y...

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  4. If (7x-5y):(3x+4y) = 7:11 then show that (3x-2y): (3x+4y) = 137 : 473

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  5. Answer any one question : Prove that angles in the same segment of a c...

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  6. State and prove Pythagoras theorem.

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  7. ABCD is a cyclic quadrilateral. If AB = DC, then prove that AC= BD.

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  8. In a triangle PQR, anglePQR = 90^@ S is any point onQR. Prove that PS^...

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

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  10. Draw a triangle whose two side are 7.6 cm and 6 cm in length and the a...

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  11. The length of radius of a circle is 28 cm. Determine the circular val...

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  12. Prove that sqrt((1+cos30^@)/(1-cos30^@))=sec 60^@+tan 60^@.

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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. From the point on the top of a palace of 60 metres height, it is obser...

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

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  16. A cuboidal tank is filled with diesel. That amount of diesel is poured...

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  17. How many marbles with lengths of 3.5 cm radius may be formed by meltin...

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

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  19. Find the mode of the following frequency distribution table.

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  20. Find the median of the following data.

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