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In the given figure, two circles touch e...

In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that:

(i) tangent at point P bisects AB
(ii) angle `APB=90^(@)`

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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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