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## singhmmm 2 years ago A , B , E ARE POINTS ON CIRCLE AB IS DIAMETER WITH O AS A CENTRE AC AND BD ARE PERPENDICULARS ON A LINE PQ . BD MEETS THE CIRCLE AT E . PROVE THAT AC = ED

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1. hba

@singhmmm A diag would be actually helpful use the draw tool :) |dw:1357992984759:dw|

2. mathslover

well I think there are many possible diagrams. Since PQ line is not specified whether it lies inside the circle or outside or...

3. hba

The 9 point diag from the Halls book may resemble :P

4. hba

@singhmmm Would you mind replying ?

5. mathslover

well this is not an easy stuff.

6. singhmmm

@hba ..i didn' understand vat u r trying to say

7. mathslover

@singhmmm did you try this question ?

8. singhmmm

yup .

9. singhmmm

diagram is not making clear..

10. singhmmm

i don't know where to mark point E

11. mathslover

|dw:1357993427560:dw|

12. mathslover

since the question says that : i) BD meets the circle at E ii) PQ is a line ( nothing mentioned that it will be inside or outside the circle )

13. mathslover

r u sure that it is AC = ED ? @singhmmm

14. singhmmm

yup

15. singhmmm

somehow i think ques.statement is wrong

16. singhmmm

vat do u think

17. mathslover

it 'might' be but m confused something about the diagram. Not sure for wrong but I think something useful is missing

18. singhmmm

kk

19. singhmmm

thanks buddy

20. mathslover

Your welcome but I have invited some experts who can help us. Don't close this quest. now and stay updated

21. mathslover

I got it

22. experimentX

|dw:1357994247928:dw|

23. mathslover

Wait the diagram is wrong. Let me draw a correct one

24. mathslover

|dw:1357994306561:dw|

25. mathslover

|dw:1357994444885:dw| now let us join AE

26. experimentX

|dw:1357994482792:dw|

27. mathslover

by property that angle AEB will be 90 degree similarly all the angles in the quad. AEDC will be 90 degrees

28. experimentX

yep!! correct mathlover!!

29. mathslover

Therefore AEDC is a rectangle and AC = ED ( opposite sides of rectangle are equal )

30. mathslover

Thanks @experimentX

31. singhmmm

thank u so much @mathlover and experiment X

32. mathslover

you are welcome @singhmmm , hope you enjoy this site. Best of luck.

33. singhmmm

yup

34. singhmmm

sme 2 u

35. mathslover

thnks

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