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If 2x = sqrta+1/sqrta. Show that sqrt(x^...

If `2x = sqrta+1/sqrta`. Show that `sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)`

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UNITED BOOK HOUSE-TAMLUK HAMILTON HIGH SCHOOL-EXERCISE
  1. Tow friends start a partnership business investing ₨. 40,000 and ₨. 50...

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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 2x = sqrta+1/sqrta. Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

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  4. x varies directly with y and inversely with z. When y =5, z= 9 then x=...

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

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  6. State and prove the convere of the Pythagoras theorem.

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  7. Prove that the tangent to the circle at any point on it is perpendicul...

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  8. Two chords AB and CD of a cricle with centre O intersect at P. Prove t...

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  9. Geometrically find the value of sqrt(21),

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  10. Draw a triangle whose two sides are 9 cm and 7 cm in length and the an...

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  11. For which value of theta(0^@lethetale90^@) sin^2 theta-3sin theta+2=0 ...

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  12. If alpha and beta are complementary angles, then show that cot beta+co...

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  13. If 0^@<(alpha)<90^@, then find the minimum value of 4cosec^2 (alpha)+...

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  14. A palm tree stands on the bank of a river. A post is fixed I the earth...

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

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

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  17. On the curved surface of the axis of a globe with the length of 14cm r...

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

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  19. Draw an ogive (less than type) from the following frequency distributi...

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  20. If the median of the given data is 32, then find the value of x and y ...

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