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From a point P outside a circle, with ce...

From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that
(i) `/_AOP=/_BOP`
(ii) `OP` is the `_|_` bisector of chord AB.

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ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18(A)
  1. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

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  2. Three circles touch each other externally. A triangle is formed when t...

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  3. A quadrilateral ABCD is ABCD is drawn to circumscribe a circle. Prove ...

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  4. If the sides of a parallelogram touch a circle prove that the parallel...

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  5. From the given figure, prove that : AP+BQ+CR=BP+CQ+AR Also show tha...

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  6. In the figure if AB=AC then prove that BR=CR

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  7. Radii of two circles are 6.3 cm and 3.6 cm. State the distance between...

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  8. From a point P outside a circle, with centre O, tangents PA and PB are...

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  9. In the given figure, two circles touch each other externally at point ...

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  10. Tangents AP and AQ are drawn to a circle, with centre O, from an exter...

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  11. Two parallel tangents of a circle meet a third tangent at points P and...

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  12. ABC is a right angled triangle with AB=12 cm and AC=13 cm. A circle, w...

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  13. In a triangle ABC, the incircle (centre O) touches BC , CA and AB at p...

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  14. In the following figure PQ and PR are tangents to the circle with the ...

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

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

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  17. In the given figure, PT touches the circle with centre O at point R. D...

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  18. PT is a tangent to the circle at T. If /ABC=70^(@) and /ACB=50^(@), ...

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  19. In the given figure, O is the centre of the circumcircle of triangleAB...

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  20. In the given PQ is a tangent to the circle at A. AB and AD are bisecto...

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