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In the figure above, BD and CE are two diameters of circle
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07 Sep 2021, 09:13
07 Sep 2021, 09:13
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Question Stats:
45% (02:31) correct
54% (01:50) wrong based on 42 sessions
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In the figure above, BD and CE are two diameters.png [ 6.31 KiB | Viewed 4195 times ]
In the figure above, BD and CE are two diameters of circle intersecting each other at 48°.
Points A, B, C, D, and E - all lie on the circle.
Quantity A |
Quantity B |
m∠EAB |
130° |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: In the figure above, BD and CE are two diameters of circle
[#permalink]
19 Sep 2021, 01:49
19 Sep 2021, 01:49
2
freak47 wrote:
Can someone please explain this more clearly?
Usind the property of Central angle:
\(∠EAB = \frac{1}{2}(∠EOB)\)
\(∠EAB = \frac{1}{2}(48° + 48° + 132°) = \frac{228°}{2} = 114°\)
Col. A: 114°
Col. B: 130°
Hence, option B
Attachments
In the figure above, BD and CE are two diameters.png [ 7.91 KiB | Viewed 3902 times ]
General Discussion
Re: In the figure above, BD and CE are two diameters of circle
[#permalink]
09 Sep 2021, 04:12
09 Sep 2021, 04:12
1
Assume that O is the center of the circle. The mes of angle EOB that intercepts the small arc EB is (360- (48×2)/2= 132
The mes of the external angle EOB that intercept the large arc EB is 360-132= 228
Angle EAB intercept the same large arc that the angle center EOB. So mes of EAB = 228/2=114
Quant A < quant B
Answer B
Posted from my mobile device
The mes of the external angle EOB that intercept the large arc EB is 360-132= 228
Angle EAB intercept the same large arc that the angle center EOB. So mes of EAB = 228/2=114
Quant A < quant B
Answer B
Posted from my mobile device
