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Bisector AD of angleBAC of triangleABC p...

Bisector AD of `angleBAC of triangleABC` passes through the centre O of the circumcircle of `triangleABC` as shown in the figure Prove that AB = AC

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The bisector of angleB of an isosceles triangle triangleABC with AB = AC meets the circumcircle of triangleABC at P as shown in the figure. If AP and BC produced meet at Q, prove that CQ = CA.

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. In given Fig. , AD = AE and D and E are points on BC, such that BD = ...

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

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

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

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

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

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

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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. If angleABD = 35^@ and angleBAC = 70^@....

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

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

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

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

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

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

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

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

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

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

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  20. Fill in the Blanks: The centre of a cirlce lies in of the cirlce. (...

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