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Simplify : 1/(sqrt2+sqrt3)-(sqrt3+1)/(2+...

Simplify : `1/(sqrt2+sqrt3)-(sqrt3+1)/(2+sqrt3)+(sqrt2+1)/(3+2sqrt2)`

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UNITED BOOK HOUSE-GARDEN REACH BIHARI DAS GIRL'S -EXERCISE
  1. If 5 times of a positive whole number is less by 3 than twice of its s...

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  2. In a garden trees are planed in rows. The number of trees in each row ...

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  3. Simplify : 1/(sqrt2+sqrt3)-(sqrt3+1)/(2+sqrt3)+(sqrt2+1)/(3+2sqrt2)

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  4. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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  5. 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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  6. Answer any one : If a/b+c = b/c+a = c/a+b, then prove that each ratio...

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  7. Prove that if any straight line passing through the centre of a circle...

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  8. If two tangents are drawn to a circle from a point outside it, then th...

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  9. In triangleABC, anglaBAC = 90^@ , if CD is a median of triangleABC, th...

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  10. AC is a diamter of a circle with centre O, If triangleABC is cyclic an...

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  11. Construct an equilateral triangle with side 6 cm. Draw the in circle o...

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  12. Draw a cricle with centre at O having the length of radius 2.5 cm. Tak...

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  13. Find the value of sin^2 pi/3-sec^2 pi/4-cosec^2 pi/4+ cot pi/4.

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  14. If (sin theta) (x) = (cos theta)/(y), then prove that sin theta - cos ...

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  15. show that (1-sin^2 alpha)(1-cos^2 alpha)(1+cot^2 alpha)(1+tan^2 alpha)...

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  16. The heights of two towers are h1 metre and h2 metre. If the angle of e...

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  17. From a point at a height of 30 metre from the water level of a lake th...

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  18. Each side of a cube is decreased by 50%. Calculate the ratio of the vo...

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  19. The curved surface area of a solid right circular cylinder is 1,320 sq...

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

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