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In Fig. 4.102 (i) and (ii) , if C D a...

In Fig. 4.102 (i) and (ii) , if `C D` and `G H` `(D\ a n d\ H` lie on `A B` and `F E` ) are respectively bisectors of `/_A C B` and `/_E G F` and ` A B C ~ F E G` , prove that (FIGURE) ` D C A ~ H G F` (ii) `(C D)/(G H)=(A C)/(F G)` (iii) ` D C B ~ H G E`

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RD SHARMA-TRIANGLES-All Questions
  1. In the given Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /1=/2 . Prove t...

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  2. In Fig. 4.101, A D and C E are two altitudes of A B C . Prove ...

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  3. In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B...

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  4. In Fig. 4.103, C D and G H are respectively the medians of A B ...

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  5. In Fig. 4.104, if B D|A C and C E|A B , prove that (FIGURE) A E...

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  6. D is a point on the side B C of A B C such that /A D C=/B A C . Pr...

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  7. In Fig. 4.106, considering triangles B E P and C P D , prove tha...

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  8. P and Q are points on sides A B and A C respectively of A B C ....

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  9. In Fig. 4.109, express x in terms of a ,\ b and c . (FIGURE)

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  10. In Fig. 4.112, /B A C=90o and segment A D|B C . Prove that A ...

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  11. In A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90o .

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  12. In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B a...

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  13. In Fig. 4.116, A B C D is a trapezium with A B D C . If A E D ...

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  14. If E is a point on side AD produced of a parallelogram ABCD and BE in...

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  15. In Fig. 4.121, A B C is a right triangle right angled at B and D...

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  16. In Fig. 4.122, A D and B E are respectively perpendiculars to B ...

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  17. In Fig. 4.124, E is a point on side C B produced of an isosce...

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  18. In Fig. 4.125, F E C~= G B D and /1=/2 . Prove that A D E A ...

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  19. In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /A=/C and /B...

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  20. In Fig. 4.128, D E F G is a square and /B A C=90o . Prove tha...

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