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The bisector of interior /A of A B C me...

The bisector of interior `/_A` of ` A B C` meets `B C` in `D ,` and the bisector of exterior `/_A` meets `B C` produced in `Edot` Prove that `(B D)/(B E)=(C D)/(C E)dot`

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The bisector of interior /_A of hat varphi ABC meets BC in D, and the bisector of exterior /_A meets BC produced in E. Prove that (BD)/(BE)=(CD)/(CE)

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NAGEEN PRAKASHAN-TRIANGLES -Exercise 6a
  1. In the given figure if PQ||YZ. Find XQ.

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  2. Da n dE are respectively the points on the side A Ba n dA C of a A B ...

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  3. In a A B C , D and E are points on the sides A B and A C respectiv...

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  4. In Fig. 4.20, if P Q B C and P R C D . Prove that (i) (A R)/(A...

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  5. In a A B C ,D and E are points on sides A Ba n dA C respectively such...

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  6. In A B C ,\ D and E are points on sides A B and A C respectively ...

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  7. In the given figure, if DE||AQ and DF||AR. Prove that EF||QR.

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  8. In the given figure A, B and C are points on OP, OQ and OR respectivel...

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  9. Prove that the diagonals of a trapezium divide each other proportional...

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  10. In triangleABCthe bisector of angleB meets AC at D. A line PQ||AC meet...

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  11. The diagonals of a quadrilateral ABCD intersect each other at the poi...

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  12. In the given figure AD is the bisector of angleA. If BD= 4 cm , DC = 3...

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  13. The bisector of interior /A of A B C meets B C in D , and the bisecto...

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  14. A D is a median of A B C . The bisector of /A D B and /A D C meet A B...

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  15. If the bisector of an angle of a triangle bisects the opposite side...

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  16. D,E and F are the points on sides BC, CA and AB respectively, of tria...

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  17. If the diagonal BD of a quadrillateral ABCD bisects both angleB and an...

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  18. Prove that the line segments joints joining the mid-points of the a...

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  19. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

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  20. In A B C D is a parallelogram in which P is the mid-point of D C and ...

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