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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-RK MISSION BOYS' HOME HIGH SCHOOL-EXERCISE
  1. If one root of the equation ax^2+bx+c=0 (a!=0) is twice the other, tha...

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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. y is sum of two variables, one in which varies directly with x and ano...

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  5. If x=(4ab)/(a+b) then show that (x+2b)/(x-2b)+(x+2b)/(x-2b)=2.

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  6. If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+...

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  7. State and Prove Pythagoras theorem.

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

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  9. The two chords AB and AC of a circle are equal, prove that the bisecto...

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  10. Two acute angled traingle ABC and PQR are similar. Their circumcentres...

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  11. Draw a right angled triangle whose adjacent sides of the right angle a...

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  12. Draw a square whose area is equal to a rectangle of 6cm length and 3 c...

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  13. Express 40^@16'24''in radian.

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  14. Find the value/values of theta(0^@ le theta le 90^@) for which 2 sin t...

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  15. If sin 17^@ = x/y show that sec 17^@-sin 73^@ = x^2/(ysqrt(y^2-x^2).

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  16. If the angle of elevation of the top of monument when observed from a ...

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  17. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

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  18. 127 2/7 sq.cm of sheet is required to make a hemispherical bowl. Calcu...

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  19. If a solid silver sphere of diameter of 6 cm is melted and re-casted i...

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  20. Half of the cuboidal water tank with length 2.1m and breadth of 1.5m i...

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