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The lengths of radii of two circles are ...

The lengths of radii of two circles are 5 cm and 3 cm. The two circles touch externally. Then the distance between the centraes of the circles is

A

2 cm

B

`2.5` cm

C

`1.5` cm

D

8 cm

Text Solution

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Let two circles with centres O and O' touch each other externally at the point C. The radius of the first circle is `5 cm therefore OC= 5cm,` and the radius of the second circle is 3 am, `therefore O'C=3cm.`
Now the distance between the centres of the circeles `=OO'= OC+CO' =5 cm +3 cm =8 cm`
`therefore `(d) is correct
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CALCUTTA BOOK HOUSE-THEOREMS RELATED TO TANGENT IN A CIRCLE -EXERCISE 4.2
  1. The lengths of radii of two circles are 5 cm and 3 cm. The two circles...

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  2. The distance of the point from the centre of a circle with diameter of...

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  3. Two circles touch each other at the point R. PQ is a common tangent to...

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  4. Two tangents drawn at the point A and B on a circle intersect each oth...

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  5. The centre of a circle with radius of 6 cm is O. The length of the tan...

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  6. If the radius of a circle be zero, then the circle is called a point ...

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  7. Only three tangents can be drawn from a external point of a circle.

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  8. The tangent to a circle and the radius passing through the point of co...

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  9. The number of direct common tangents to two intersecting circles is ""

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  10. The straight line PAB intersects the circle with centre O at the point...

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  11. Two circles touch each other internally. The radius of the larger circ...

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  12. Two circles touch each other externally. The distance between two cent...

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  13. The radius of a circle with centre O is 5 cm. The length of the tangen...

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  14. AB is a diameter of the circle with centre O. The tangent, drawn at a ...

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  15. Prove that form any external point two tangents can be drawn to circle...

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  16. Two tangents are drawn from an external point A of the circle with cen...

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  17. Prove that the internal bisector of the angle between two tangents dra...

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  18. Prove that the internal angle between two tangents drawn from an exter...

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  19. The incircle of Delta ABC touches the sides AB, BC and CA of the trian...

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  20. If the quadrilateral ABCD circumscribed about the circle , then prove ...

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  21. Puja has drawn a circle wit centre of O of which AB is a diameter. Two...

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