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

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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UNITED BOOK HOUSE-HATI HIGH SCHOOL-EXERCISE
  1. The unit digit of a two digit number exceeds the tens digit by 6 and t...

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  2. Solve: (x+2)/(x-2)-((x-2)/(x+2))=5/6

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  3. 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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  4. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, find the value of (x^2+3...

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

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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. State and prove Pythagoras theorem.

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

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  9. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

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  10. AD is a median of triangleABC. A straight line parallel to BC intersec...

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  11. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

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  12. Draw a rectangle having sides 10 cm and 5 cm. Now draw a square whose ...

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  13. One of the acute angle of a right angled triangle is 30^@. Find the o...

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  14. If tan theta = 3/4 show that sqrt((1-sin theta)/(1+sin theta)) = 1/2.

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  15. If A+B = 90^@ , show that tan A + tan B = (cosec^2B)/sqrt(cosec^2B-1)

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  16. A house of 15 metres hegiht, stands on one side of a park and from a ...

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  17. From roof of a multi storeyed building a man saw a running bus came st...

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  18. Determine the volume of a solid right circular cone which can be made ...

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  19. The length of outer and inner diameter of a hallow right circular cyli...

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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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