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If the lines AC and BC shown in the picture touch the circle with cent

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If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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New post 09 Sep 2018, 07:54
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A
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C
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E

Difficulty:

  25% (medium)

Question Stats:

79% (01:44) correct 21% (01:16) wrong based on 31 sessions

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If the lines AC and BC shown in the picture touch the circle with center O only at points A and B, what is the area of the circle?

(1) Triangle AOC has an area of 50.
(2) OBC is a right angle.


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image010.gif [ 2.78 KiB | Viewed 598 times ]

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Re: If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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New post 09 Sep 2018, 18:50
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=43459[img][/img][/img]
If the lines AC and BC shown in the picture touch the circle with center O only at points A and B, what is the area of the circle?

(1) Triangle AOC has an area of 50.
(2) OBC is a right angle.


Attachment:
image010.gif


Hi Bunuel,

The attachment doesn't seem to be getting displayed correctly. Could you re-upload it please?
Math Expert
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Re: If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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New post 09 Sep 2018, 19:35
Shruti0805 wrote:
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=43459[img][/img][/img]
If the lines AC and BC shown in the picture touch the circle with center O only at points A and B, what is the area of the circle?

(1) Triangle AOC has an area of 50.
(2) OBC is a right angle.


Attachment:
image010.gif


Hi Bunuel,

The attachment doesn't seem to be getting displayed correctly. Could you re-upload it please?

_______________________
Done. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If the lines AC and BC shown in the picture touch the circle with cent  [#permalink]

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New post 09 Sep 2018, 20:13
Got this wrong at first attempt.

My understanding now.

Option1: Area of AOC alone is not sufficient to deduce radius/AO. Additional information such as any side/angle should have been provided. Not sufficient

Option2: This is not at all a new information. From circle theorms we already knew that such triangles are always Right angle triangles. Not sufficient.

Answer E

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Re: If the lines AC and BC shown in the picture touch the circle with cent   [#permalink] 09 Sep 2018, 20:13
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If the lines AC and BC shown in the picture touch the circle with cent

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