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If x= (4sqrt(15))/(sqrt5+sqrt3), then (x...

If `x= (4sqrt(15))/(sqrt5+sqrt3)`, then `(x+sqrt(20))/(x-sqrt(20))+(x+sqrt(12))/(x-sqrt(12))=`?

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UNITED BOOK HOUSE-HOOGHLY COLLIGIATE SCHOOL-EXERCISE
  1. Joseph and Kuntal work in a factory. Joseph takes 5 minutes less time ...

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  2. Prove that the quadratic equation (a^2+b^2)x^2+2(ac+bd)x+(c^2+d^2)=0 h...

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  3. If x= (4sqrt(15))/(sqrt5+sqrt3), then (x+sqrt(20))/(x-sqrt(20))+(x+sqr...

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  4. If x prop y and y prop z, then prove that : (x^2+y^2+z^2) prop (xy+yz+...

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  5. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

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  6. If b+c-a/x+y-x = c+a-b/c+x-y = a+bc/x+y-z, then prove that a/x = b/y =...

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  7. State and Prove Pythagoras theorem.

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

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  9. If in ABC,A is right angle and BP and CQ are two medians, then prove t...

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  10. ABC is a triangle whose AB = AC. E is any point an extended BC, circum...

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  11. Geometrically find the value of sqrt(29).

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

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  13. In a circle, if an arc of 220 cm length subtends and angle of measure ...

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  14. If sin theta+cos theta = 7/5 then sin theta cost theta = 12/25, find t...

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  15. Find the value of (sin 25^@)/(sec65^@)+(cos 25^@)/(cosec 65^@).

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  16. From a point on the roof a house 11 metres height, it is observed that...

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  17. If the angle of depression of two consecutive km stones on a road fro...

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  18. The length and breadth of a rectangular field of the village are 20m a...

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  19. The external radius of a hollow sphere made of lead sheet of 1 cm thic...

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  20. The length of two sides adjacent to right angle of a right angled tria...

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