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Updated on: 27 Jun 2012, 04:09
Originally posted by cyberjadugar on 25 Jun 2012, 09:39.
Last edited by cyberjadugar on 27 Jun 2012, 04:09, edited 2 times in total.
Last edited by cyberjadugar on 27 Jun 2012, 04:09, edited 2 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
25% (01:17) correct
75%
(01:18)
wrong
based on 107
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What is the area of circle passing points A, B & C (in the given figure), if the angle ABC is 60?
(1) Angle AOC is 120.
(2) OA is 6 units.
(1) Angle AOC is 120.
(2) OA is 6 units.
Attachment:
File comment: Rough Diagram
Q.jpg [ 18.97 KiB | Viewed 4054 times ]
Q.jpg [ 18.97 KiB | Viewed 4054 times ]
Show SpoilerSolution
As per the below diagram, lets say a circle is passing through AOC.
angle AOC = angle AEC, so, irrespective of the fact that O is center or not, it is possible to have any angle as twice of angle ABC.
Thus, even after combining the two statement we can't figure out whether O is center of the circle.
Remember, the angle subtended by arc at the center is twice of the angle subtended by the arc on rest of the circumference but the converse is not true.
A.jpg [ 15.11 KiB | Viewed 3786 times ]
angle AOC = angle AEC, so, irrespective of the fact that O is center or not, it is possible to have any angle as twice of angle ABC.
Thus, even after combining the two statement we can't figure out whether O is center of the circle.
Remember, the angle subtended by arc at the center is twice of the angle subtended by the arc on rest of the circumference but the converse is not true.
Attachment:
A.jpg [ 15.11 KiB | Viewed 3786 times ]
25 Jun 2012, 10:36
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Both statements are required.
We need the first to prove that 'O' is the centre of the circle and second one to know the radius.
We need the first to prove that 'O' is the centre of the circle and second one to know the radius.
25 Jun 2012, 19:16
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ankushgrover
Both statements are required.
We need the first to prove that 'O' is the centre of the circle and second one to know the radius.
Hi,We need the first to prove that 'O' is the centre of the circle and second one to know the radius.
Think about it some more!
Regards,
