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Prove that of all chords of a circle thr...

Prove that of all chords of a circle through a given point within it, the least is one. Which is bisected at that point.

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. PQ and RQ are chords of a circle equidistant from the centre. Prove th...

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  2. In given Fig. , AD = AE and D and E are points on BC, such that BD = ...

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  3. Prove that of all chords of a circle through a given point within it, ...

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  4. Bisector AD of angleBAC of triangleABC passes through the centre O of ...

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  5. If two equal chords of a circle intersect within the circle, prove tha...

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  6. If two equal chords of a circle intersect within the circle, prove tha...

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  7. If O is the centre of the circle, find the value of x in each of the f...

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  8. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

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  9. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

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  10. O is the centre of the circle. If angleABD = 35^@ and angleBAC = 70^@....

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  11. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleACD

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  12. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleBAD

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  13. angle ABD = 54^@ and angleBCD = 43^@, calculate the angleBDA

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  14. DE is a chord parallel to diameter AC of the circle with centre O. If ...

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  15. C is a point on the minor arc of the circle, with centre O. If angleAC...

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  16. If O is the circumcentre of a triangleABC, OD bot BC, prove that angle...

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  17. Two diameters of a circle intersect each other at right angles. Prove ...

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  18. AB is a diameter of the circle C(AO,R) and the radius OD is perpendicu...

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  19. Prove that the circle drawn on any one of the equal sides of an isosce...

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  20. AC is the diamter of a circle with centre AO and chord BD bot AC, inte...

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