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If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy...

If `x= (sqrt7+sqrt3)/(sqrt7-sqrt3)` and xy= 1 then find the value of `(x^2-xy+y^2)/(x^2+xy+y^2)`.

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UNITED BOOK HOUSE-ANISHMALI UNTIED ACADEMY-EXERCISE
  1. If the roots of the quadratic equation (b-c)x^2+(c-a)x+(a-b)= 0 are eq...

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  2. Solve: 1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6[x!=1,2,3,4]

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  3. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy= 1 then find the value of (x^...

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  4. If (x^3+y^3) alpha(x^3-y^3) prove that (x^2+y^2) alpha(x^2-y^2).

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  5. If a,b,c, are in continued proportion then prove that a^2b^2c^2(1/a^3+...

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  6. If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)

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  7. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  8. State and Prove Pythagoras theorem.

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

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  10. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

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  11. Answer any one question : Draw an equilateral triangle of side of 6 c...

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  12. Geometrically find the value of sqrt(9 ).

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  13. If tan theta = a/b then find the simpliest value of (b cos theta-a sin...

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  14. Prove that (2tan^2 (30^@))/(1-tan^2(30^@))+sec^2(45^@)-cot^2(45^@) = s...

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  15. Show that cosec^2(25^@)cot^2(65^@)=sin^2(25^@)+sin^2(65^@)+cot^2(65^@...

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  16. The height of 2nd tower is equal to 1/3rd the height of 1st tower. The...

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  17. If the angle of elevation of the top and Monument when observed from a...

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  18. Total surface area of a right circular pot open at one end is 2002 sq....

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  19. Three spheres made of copper having the lengths of 6cm, 8 cm and 10 cm...

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  20. The base diameter and height of a right circular cone arc 21 m and 14 ...

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