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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-BEGUNKODAR HIGH SCHOOL-EXERCISE
  1. The ratio of the roots of the quadratic equation ax^2+bx+c=0(a!=0) is ...

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  2. Solve: a/(ax-1)+b/(bx-1)=a+b (x!=1/a,1/b).

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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. The total expenses of a hostel are partly constant and partly vary dir...

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  5. If (10x+3y):(5x+2y)= 9:5 then find (2x+y):(x+2y).

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  6. If a^2/(b+c)=b^2/(c+a)=c^2/(a+b)=1, show that 1/(1+a)+1/(1+b)+1/(1+c)=...

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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. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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  10. Prove that two equal chords are equidistant from the centre of the cir...

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  11. Draw a triangle ABC whose BC = 9 cm, AB = 7 cm and AC = 8cm. Now draw ...

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

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  13. If the sum of two angles is 135^@ and their difference is Pi/2, then d...

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

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  15. Answer any two questions : If sin 17^@ = x/y, show that sec 17^@ - sin...

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  16. Two pillars of equal heights are on the either side of a road, which i...

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  17. The height of two towers are 180 metres and 60 metres respectively. If...

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  18. Determine the number of coins with diameter and thickness of 3cm and 8...

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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. A tank of length 21 dcm, breadth 11 dcm and 6 dcm deep is half filled ...

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