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Two circles of radii 10\ c m\ a n d\ 8...

Two circles of radii `10\ c m\ a n d\ 8\ c m` intersect and the length of the common chord is `12 c mdot` Find the distance between their centres.

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To solve the problem of finding the distance between the centers of two intersecting circles with given radii and the length of the common chord, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Values:** - Radius of Circle O (R1) = 10 cm - Radius of Circle O' (R2) = 8 cm - Length of the common chord (PQ) = 12 cm ...
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RD SHARMA-CIRCLE -All Questions
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  2. Prove that the line joining the mid-points of two parallel chords of a...

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  6. In Figure, hat A B~= hat A C and O is the centre of the circle. Prove...

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  7. Prove that the right bisector of a chord of a circle, bisects the ...

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  8. Prove that the perpendicular bisector of a chord of a circle always ...

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  9. In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B...

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  12. The radius of a circle is 8cm and the length of one of its chords i...

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  13. Find the length of a chord which is at a distance of 5 cm from the ...

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  14. Find the length of a chord which is at a distance of 4 cm from the ...

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  15. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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  16. Suppose you are given a circle. Give a construction to find its cen...

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  17. Prove that the line joining the mid-point of a chord to the centre ...

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  18. Prove that a diameter of a circle which bisects a chord of the circ...

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  19. Prove that two different circles cannot intersect each other at mor...

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  20. A line segment A B is of length 5 cm. Draw a circle of radius 4 ...

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