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Prove that the opposite sides of a quadr...

Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centres of the circle.

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NAGEEN PRAKASHAN ENGLISH-CIRCLES-Exercise
  1. From a point P, two tangents PA and PB are drawn such that PA=10 cm an...

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  2. From an external point P, tangents PA and PB are drawn to a circle. CE...

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  3. In the giben figure, AB is the diameter of the circle, with centre O a...

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  4. In the given figure, PA and PB are tangents to a circle with centre O....

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  5. In the given figure two concentric circles with centre O are of radii ...

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  6. In quadrilateral ABCD angled D=90^(@), BC=38cm and DC=25cm. A circle i...

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  7. Two tangent segments BC and BD are drawn to a circle with centre O and...

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  8. Prove that the tangents drawn at the ends of a diameter of a circle...

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  9. Prove that in two concentric circles, the chord of the larger circl...

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  10. Prove that the line segment joining the points of contact of two paral...

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  11. Prove that the opposite sides of a quadrilateral circumscribing a circ...

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  12. From a point P, two tangents PA and PB are drawn to a circle with cent...

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  13. The incircle of an isoceles triangle ABC, with AB=AC, touches the side...

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  14. In the given figure, a triangle ABC is drawn to circumscribe a circle ...

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  15. A circle is inscribed in a triangleABC having sides 8 cm, 10 cm and 12...

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  16. In the figure, PO|QO. The tangents to the circle with centre O at P an...

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  17. In figure, DE and DF are tangents from an external point D to a circle...

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  18. In a hexagon ABCDEF circumscribe a circle, prove that AB+CD+EF=BC+DE+F...

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  19. In figure, determine the measure of angleQSR, where O I the centre of ...

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  20. In figure, CPD and APB are common tangents to the two circles with cen...

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