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If the two equal chords of a circle inte...

If the two equal chords of a circle intersect :
(i) inside
(ii) on
(iii) outside
the circle, then show that the line segment joining the point of intersection to the centre of the circle will bisect the angle between the chords.

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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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