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If tan theta+ cot theta = 2, then find t...

If `tan theta+ cot theta = 2`, then find the value of `tan^5 theta+cot^5 theta`.

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UNITED BOOK HOUSE-GHORANASH HIGH SCHOOL -EXERCISE
  1. The line parallel to BC of triangleABC meets AB and AC at P and Q resp...

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  2. If r cos theta = 1/2 and r sin theta = sqrt3/2, then find the value o...

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  3. If tan theta+ cot theta = 2, then find the value of tan^5 theta+cot^5 ...

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  4. The length of diagonal of a cube is 4 sqrt3cm. Find its total surface ...

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  5. The curved surface area of a right circular cone is sqrt(10) times of ...

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  6. If ui = (xi - 35)/(10), sumfiui =30 and sumfi = 60, then determine the...

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  7. At the same rate of simple interest in percent per annum, if a princip...

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  8. The price of any machine decreased by 10% in each year. If the price o...

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  9. Answer any one : 1/a+b+x = 1/a+1/b+1/x, [x ne 0, - (a + b)]

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  10. The area and perimeter of a rectangular park are 600 sq.m. and 100 m r...

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

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  12. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  13. If a,b,c are in continued proportion, then show that 1/b^2= 1/(b^2-a^2...

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  14. 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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  15. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  16. State and prove Pythagoras theorem.

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

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  18. Two chords AB and AC of the larger of two concentrci circles touch the...

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  19. Draw a triangle having sides 6cm, 8 cm and 10 cm. Now draw the incircl...

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  20. Geometrically find the value of sqrt(35).

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