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In a ` A B C` , `D` and `E` are points on the sides `A B` and `A C` respectively such that `D E B C` If `A D=2\ c m` , `A B=6\ c m` and `A C=9\ c m` , find `A E` . (ii) If `(A D)/(B D)=4/5` and `E C=2. 5\ c m` , find `A E` . (iii) If `A D=x` , `D B=x-2` , `A E=x+2` and `E C=x-1` , find the value of `x` .

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In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=6\ c m , D B=9\ c m and A E=8\ c m , find A C . (ii) If (A D)/(D B)=3/4 and A C=15\ c m , find A E . (iii) If (A D)/(D B)=2/3 and A C=18\ c m , find A E .

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RD SHARMA-TRIANGLES-All Questions
  1. In a A B C , D and E are points on the sides A B and A C respectiv...

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

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

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  5. In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C re...

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  6. In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C re...

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  7. In a A B C , P and Q are point on the sides A B and A C respective...

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  8. In a A B C , D and E are points on A B and A C respectively such ...

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  9. In Fig. 4.35, state if P Q E F . (FIGURE)

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  10. M and N are points on the sides P Q and P R respectively of a P...

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  11. If D and E are points on sides A B and A C respectively of a A ...

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  12. In Fig. 4.41, A D is the bisector of /A . If B D=4c m , D C=3c m...

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  13. In Fig. 4.42, A D is the bisector of /B A C . If A B=10 c m . A ...

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  14. If the diagonal B D of a quadrilateral A B C D bisects both /...

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

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  16. In A B C , if A D is the bisector of /A , prove that: (A r e a(...

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  17. B O and C O are respectively the bisectors of /B and /C of A B C ....

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  18. In a A B C , A D is the bisector of /A , meeting side B C at D ...

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  19. In a A B C , A D is the bisector of /A , meeting side B C at D ...

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  20. In a A B C , A D is the bisector of /A , meeting side B C at D ...

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