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In Fig. 4.35, state if P Q E F . (FI...

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

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In Fig. 4.144, we have A B C D E F . If A B=6c m , C D=x\ c m , E F=10 c m , B D=4c m and D E=y\ c m , calculate the values of x and y . (FIGURE)

In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE)

In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE)

In Fig. 4.100, if (Q T)/(P R)=(Q R)/(Q S) and /_1=/_2 . Prove that P Q S ~ T Q R . (FIGURE)

In Fig. 4.238, S and T are points on the sides P Q and P R respectively of P Q R such that P T=2c m , T R=4c m and S T is parallel to Q R . Find the ratio of the areas of P S T and P Q R . (FIGURE)

In Fig. 4.230, each of P A ,\ Q B ,\ R C and S D is perpendicular to l . If A B=6c m , B C=9c m , C D=12 c m and P S=36 c m , then determine P Q ,\ Q R and R S . (FIGURE)

In Fig. 4.128, D E F G is a square and /_B A C=90o . Prove that A G F D B G (ii) A G F E F C (FIGURE) (iii) D B G E F C (iv) D E^2=B DxxE C

In Fig. 4.136, A C B A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m and A P=2. 8 c m , find C A and A Q . (FIGURE)

In Fig. 4.177, A C B A P Q . If B C=10 c m , P Q=5c m , B A=6. 5 c m and A P=2. 8 c m find C A and A Q . Also, find the area ( A C B): a r e a ( A P Q) . (FIGURE)

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RD SHARMA-TRIANGLES-All Questions
  1. In a A B C , P and Q are point on the sides A B and A C respective...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. In Fig. 4.57, A E is the bisector of the exterior /C A D meeting...

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  16. In Fig. 4.58, A B C is a triangle such that (A B)/(A C)=(B D)/(...

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  17. In A B C (Fig. 4.59), if /1=/2 , prove that (A B)/(A C)=(B D)/(...

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  18. D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...

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  19. In Fig. 4.60, check whether A D is the bisector of /A of A B C ...

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  20. In Fig. 4.60, check whether A D is the bisector of /A of A B C ...

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