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Two diameters of a circle intersect each...

Two diameters of a circle intersect each other at right angles. Prove that the quadrilateral formed by joining their end points is a square.

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. C is a point on the minor arc of the circle, with centre O. If angleAC...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If diagonals of a cyclic quadrilateral are diameters of the circle thr...

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