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The lengths of radii of two circles are 8 cm and 3 cm and the distance between two centres is 13 cm. What is the length of the direct common tangent of two circle?

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UNITED BOOK HOUSE-TAMLUK HAMILTON HIGH SCHOOL-EXERCISE
  1. Find the quadratic equation whose one of the root is 2+sqrt5.

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  2. In trapezium ABCD, BC||AD and AD = 4cm. Diagonals AC and BD intersect...

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  3. The lengths of radii of two circles are 8 cm and 3 cm and the distance...

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  4. In a isoscles triangle ABC, AB = AC. If we draw a circle with diamete...

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  5. If 2 sin theta cos theta = 1, then find the value of sin theta-cos the...

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  6. If tan50^@=x and cot(theta+5^@)=1, then find the value of sec(90^@-the...

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  7. The length of radius of a right circular cylinder is decreased by 50% ...

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  8. Curved surface area and volume of a solid sphere are S and V respectiv...

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  9. If ui = (xi-25)/10, sumfiui = 20 and sumfi = 100 then find the value o...

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  10. Rameshbabu deposits Rs 3,70,000 in total in three banks. The rates of ...

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  11. Tow friends start a partnership business investing ₨. 40,000 and ₨. 50...

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  12. Solve: a/(ax-1)+b/(bx-1)=a+b (x!=1/a,1/b).

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

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

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

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

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

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

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

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

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