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Prove that the tangent to the circle at ...

Prove that the tangent to the circle at any point on it is perpendicular to the radius passes through the point of contact.

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UNITED BOOK HOUSE-TAMLUK HAMILTON HIGH SCHOOL-EXERCISE
  1. Solve: a/(ax-1)+b/(bx-1)=a+b (x!=1/a,1/b).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Find the mean of the following frequency distribution table.

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