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The incircle of a triangle ABC touches t...

The incircle of a `triangle ABC` touches the sides AB, BC and CA at the points F, D and E resepectively. Prove that `AF + BD + CE + DC + EA = 1/2 (Perimeter of triangle ABC)`

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BEYOND PUBLICATION-TANGENTS AND SECANTS TO CIRCLE-EXERCISE
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  2. In the adjacent figure, Prove that BD = DC if AB = AC

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  3. The incircle of a triangle ABC touches the sides AB, BC and CA at the ...

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  4. Find the area of a quadrant of a circle whose circuemference is 88 cm.

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  6. Two circles touch internally. The sum of their areas is 116 pi cm^2 an...

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  7. In the figure ABCD, find the area of the shaded region.

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

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

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

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

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

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

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

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

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

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

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

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

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

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