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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
35% (02:24) correct
65%
(02:02)
wrong
based on 130
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AB is a chord of a circle. AB = 5 cm. A tangent parallel to AB touches the arc AB at E. What is the radius of the circle?
1. AB is not a diameter of the circle.
2. The distance between AB and the tangent at E is 5 cm.
1. AB is not a diameter of the circle.
2. The distance between AB and the tangent at E is 5 cm.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
10 Jun 2019, 08:56
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nick1816
Statement 1 does not mean much..
2. The distance between AB and the tangent at E is 5 cm
We can draw a triangle by joining E with the center. This line OE will bisect chord AB at 90'.
The triangle AOG will give a value of r ..
\(r^2=(r-5)^2+2.5^2......r^2=r^2+25-10r+6.25.....10r=31.25....r=3.125\)
Although B is s the answer, but values are not proper as we get r-5 a negative quantity.
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10 Jun 2019, 09:56
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chetan2u
But , the length can't be in negative , right.? And hence, the answer should be E. Correct me if am wrong.
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