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Updated on: 03 Jul 2014, 13:04
Originally posted by Aragorn2584 on 03 Jul 2014, 13:02.
Last edited by Bunuel on 03 Jul 2014, 13:04, edited 1 time in total.
Last edited by Bunuel on 03 Jul 2014, 13:04, edited 1 time in total.
Renamed the topic and edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
52% (01:25) correct
48%
(01:12)
wrong
based on 77
sessions
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Not Attempted Yet
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(1) PC = 2
(2) Area of the square is 16
Source Nova Gmat
03 Jul 2014, 13:24
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In the figure, ABCD is a square, and OB is a radius of the circle. Is BC a tangent to the circle?
If BC is tangent to the circle, it must be perpendicular to radius OB, making triangle BOC a right triangle.
(1) PC = 2. This implies that OC = radius + PC = 5. So, we know the lengths of the two sides in triangle BOC: OC = 5 and OB = 3. BOC could be 3-4-5 right triangle, but it might as well not be, for example it could be 3-5-5 triangle. Not sufficient.
(2) Area of the square is 16 --> BC = 4. The same here. Not sufficient.
(1)+(2) We know the lengths of all sides in triangle BOC: OC = 5, BC = 4 and OB = 3. So, BOC is a right triangle. Sufficient.
Answer: C.
Similar question to practice: in-the-figure-o-is-the-center-of-the-circle-of-radius-3-an-173117.html
P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rule 3. Thank you.
03 Jul 2014, 20:40
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1. PC is 2. So OC is 5 since radius is 3. But BC is unknown. SO not sufficient
2. Area of square is 16. So each side is 4. But relationship to Circle still unknown. So not sufficient
1+2 - OB-BC-OC form right angled triangle with sides 3-4-5. So angle OBC is 90 deg hence BC is tangent to the circle. So sufficient
Answer - C
Kudos please!!
2. Area of square is 16. So each side is 4. But relationship to Circle still unknown. So not sufficient
1+2 - OB-BC-OC form right angled triangle with sides 3-4-5. So angle OBC is 90 deg hence BC is tangent to the circle. So sufficient
Answer - C
Kudos please!!
