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The given figure shows a triangle ABC in...

The given figure shows a triangle ABC in which AD bisects angle BAC. EG is perpendicular bisector of side AB which intersects AD at point F.
Prove that :
F is equidistant from AB and AC.

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ICSE-LOCI (LOCUS AND ITS CONSTRUCTIONS)-EXERCISE 16(A)
  1. Construct a right angled triangle PQR, in which angleQ =90^(@), hypote...

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  2. Construct a triangle ABC which angle ABC=75^(@), AB=5" cm"and BC =6.4"...

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  3. In parallelogram ABCD, side AB is greater than side BC and P is a poin...

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  4. In triangle LMN, bisector of interior angles at L and N intersect each...

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  5. In triangle LMN, bisector of interior angles at L and N intersect each...

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  6. Use ruler and compasses only for this question Construct DeltaABC, ...

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  7. Use ruler and compasses only for the following question. All construct...

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  8. Use ruler and compasses only for this question Construct the locus ...

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  9. Use ruler and compasses only for this question Mark the point P whi...

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  10. The given figure shows a triangle ABC in which AD bisects angle BAC. E...

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  11. The given figure shows a triangle ABC in which AD bisects angle BAC. E...

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  12. The bisectors of angleB and angleC of a quadrilateral ABCD intersect e...

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  13. Draw a line AB = 6 cm. Draw the locus of all the points which are equi...

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  14. Draw an angle ABC=75^(@). Draw the locus of all the points equidistan...

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  15. Draw an angleABC=60^(@), having AB = 4.6 cm and BC = 5 cm. Find a poi...

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  16. In the figure given below, find a point P on CD equidistant from point...

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  17. Construct a triangle ABC, with AB = 7 cm, BC = 8 cm and angleABC=60^(@...

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  18. Construct a triangle ABC, with AB = 7 cm, BC = 8 cm and angleABC=60^(@...

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  19. On a graph paper, draw the lines x=3 and y=-5. Now, on the same graph ...

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  20. On a graph paper, draw the line x=6. Now, on the same graph paper, dra...

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