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A circle touches all the four sides of a...

A circle touches all the four sides of a quadrilateral PQRS . Prove that
PQ + RS = QR + SP

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BEYOND PUBLICATION-TANGENTS AND SECANTS TO CIRCLE-EXERCISE
  1. In the figure ABCD, find the area of the shaded region.

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  2. A chord of a circle of radius 14 cm subtends a right angle at the cent...

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  3. A circle touches all the four sides of a quadrilateral PQRS . Prove th...

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  4. Prove that the tangents at the extermities of any chord makes equal an...

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  5. Two tangents TP and TQ are drawn to a circle with centre 'O' from on e...

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  6. In two concentric circles, a chord of length 24 cm of larger circle be...

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  7. If 'O' is the centre of the circle. PA and PB are tangent segments. Sh...

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  8. If PA and PB are tangents from an external point to a circle with cen...

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  9. In the adjacent figure, BC is a tangent to the circle with centre 'O'....

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  10. In the adjacent figure, common tangents PQ and RS to two circles inter...

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  11. Choose the correct answer and give justification for each . The ang...

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  12. From a point P, the length of the tangent to a circle is 12 cm, and th...

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  13. If tangents PA and PB from a point P to a circle with centre O are inc...

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  14. If AP and AQ are the two tangents a circle with centre O , so that an...

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  15. In the adjacent figure, if quadrilateral PQRS circumstances a circle t...

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  16. In the adjacent figure APB is a tangent to the circle with centre 'O' ...

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  17. The length of the tangent drawn from a point 17 cm away from the centr...

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  18. In the adjacent figure, the length of the chord AB if PA = 6 cm and an...

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  19. A line intersecting a circle in two points is called a ………..

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  20. The number of tangents that can be drawn to a circle at any point on i...

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