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In the adjoining figure, seg AD bot side...

In the adjoining figure, seg AD `bot` side BC, seg BE `bot `side AC,
seg CF`bot` side AB. Point O is the orthocentre.
Prove that , point O is the incentre of `DeltaDEF`.

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The correct Answer is:
`therefore` Point O is the incentre of `DeltaDEF`
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TARGET PUBLICATION-CIRCLE-Problem Set-3
  1. Length of a tangent segment drawn from a point which is at a distnac...

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  2. If two circles are touching externally,how many common tangents of the...

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  3. /ACB is inscribed in arc ACB of a circle with centre O.If /ACB=65^@,fi...

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  4. Chords AB and CD of a circle intersect inside the circle at point E. I...

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  5. In a cyclic square ABCD, twice the measure of /A is thrice the measure...

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  6. Points A,B,C are on circle, such that m(arc AB)=m(arc BC)=120^@. No po...

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  7. Seg XZ is a diameter of a circle. Point Y lies in its interor. How man...

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  8. In the adjoining figure, O is the centre of the circle. Seg AB, seg AC...

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  9. In the figure, square ABCD is a parallalogram. It circumscribes the ...

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  10. Two circles intersect each other at the points P and Q. Two straight l...

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  11. In the adjoining figure, circles with centres X and Y touch internally...

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  12. In the adjoining figure,line l touches the circle at P.O is the centre...

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  13. In the adjoining figure, seg AB is a diameter of a circle with centre ...

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  14. Prove that any three points on a circle cannot be collinear.

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  15. In the adjoining figure ,chord EF || chord GH. Prove that, chord EGc...

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  16. A circle with centre C touches the circle with centre D internally in ...

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  17. In the adjoining figure, seg AB is a diameter of a circle with centre ...

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  18. In the adjoining figure, two circles intersect each other at point M a...

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  19. Two circles intersect each other at the points P and Q. Two straight l...

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  20. In the adjoining figure, seg AD bot side BC, seg BE bot side AC, seg...

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