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Two congruent circles intersect each other at points A and B. Through A any linesegment PAQ is drawn so that P, Q lie on the two circles. Prove that `B P\ =\ B Q`.

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NAGEEN PRAKASHAN-CIRCLE -Exercise 10a
  1. The radius of a circle is 10 cm and the perpendicular form the centre ...

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  2. (i) Find the length of a chord which is at a distance of 12 cm from th...

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  3. A chord of length 24 cm is at a distance of 5 cm form the centre of th...

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  4. In the adjoining figure, AP=8cm, BP=2cm and angle CPA=90^@. Find the l...

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  5. The height of circular arc ACB is 0.6 m. if the radius of circle is 3m...

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  6. In the adjoining figure, 'O' is the centre of the circle. OL and OM ar...

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  7. In the adjoining figure,O is the centre of two concentric circles. The...

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  8. The length of common chord of two circles is 30 cm. if the diameters o...

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  9. In the adjoining figure, chord AB= chord PQ. If angleOBA=55^@, then fi...

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  10. Show that if two chords of a circle bisect one another they must be ...

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  11. Two congruent circles intersect each other at points A and B. Through...

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  12. If the two equal chords of a circle intersect : (i) inside (ii) on...

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  13. prove that the line joining the mid-point of two equal chords of a ...

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  14. Two circles itnersect each other in two points. Prove that the line th...

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  15. Two parallel chords of a circle , 12 cm and 16 cm long are on the sam...

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  16. The diameter of a circle is 20 cm. There are two parallel chords of le...

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  17. In the adjoining figure ,AB and CD are two parallel chords of a circle...

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  18. The length of two parallel chords of a circle are 6 cm and 8 cm . The ...

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  19. What happen to area of circle, if its radius is doubled?

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  20. Name the shape shown in centre of our national flag. In how many parts...

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