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D is the mid-point of side BC of a triangle ABC.AD is bisected at the point E and BE produced cuts AC at the point X. Prove that BE:EX=3:1.

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RD SHARMA ENGLISH-TRIANGLES-All Questions
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  2. Through the mid-point M of the side C D of a parallelogram A B C D , t...

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  3. D is the mid-point of side BC of a triangle ABC.AD is bisected ...

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  5. Fill in the blanks using the correct word given in brackets: Two ...

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  7. Write the truth value (T/F) of each of the following statements: (1)...

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  8. In a given /\ ABC ,D E||B C and (A D)/(D B)=3/5dot If A C=5. 6 , fi...

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  9. In Figure, LM||AB If A L=x-3,\ \ A C=2x ,\ \ B M=x-2 and B C=2x+3 , fi...

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  10. In Fig. if S T || Q R . Find P S

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  11. In Fig. (i) and (ii), P Q || B C . Find Q C in (i) and A Q in (ii) (...

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  12. In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (...

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  13. In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (...

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  14. In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...

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  15. Any point X inside D E F is joined to its vertices. From a point P ...

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  16. In Fig. 4.31, if (A D)/(D C)=(B E)/(E C) and /C D E=/C E D , prove ...

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  17. In Fig. 4.32, D E|| A Q and D F|| A R . Prove that E F || Q R . ...

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  18. In Fig. 4.33, (P S)/(S Q)=(P T)/(T R) and /P S T=/P R Q . Prove ...

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  19. In Fig. 4.34, A ,\ B and C are points on O P ,\ O Q and O R resp...

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  20. In a A B C , D and E are points on the sides A B and A C respective...

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