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If O is the circumcentre of a triangleAB...

If O is the circumcentre of a `triangleABC, OD bot BC`, prove that `angleBOD = angleA`

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. DE is a chord parallel to diameter AC of the circle with centre O. If ...

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

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

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

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

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

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

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

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  9. A point, whose distance from the centre of a circle is greater than it...

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  10. The longest chord of a circle is a ........... of the circle.

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  11. An arc is a ........... When its ends are the ends of a diameter.

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  12. Segment of a circle is the region between an arc and ........... of th...

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  13. Fill in the Blanks: A circle divides the plane, on which it lies, in...

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  14. (True/ False) Line segment joining the centre to any point on the circ...

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  15. (True/ False) A circle has only finite number of equal chords.

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  16. (True/ False) If a circle is divided into three equal arcs each is a ...

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  17. (True/ False) A chord, which is twice as long as its radius is a diam...

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  18. (True/ False) Sector is the region between the chord and its correspo...

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  19. (True/ False) A circle is a plane figure.

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  20. Name the region between a chord and either of the arcs.

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