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Three equal circle touch each other. There are two equilateral triangles formed, one by joining the centres of the three circles and other by three common tangents to each pair of the circle. Find the ratio of the sides of the two equilateral triangles

  • 5Comments
  • @amodanand06 How did you find the tangent length?. 4m.
  • @stubbornlydumbo :actually i joined the corners of smalle.... 12s.
  5 Comments
stubbornlydumbo
Gunjan Solanki @stubbornlydumbo 7
@amodanand06

I am getting the side of bigger equilateral triangle = 2r/rt(3) + 4r where r is the radius of the circle. where am i making the mistake?

amodanand06
Amod Anand @amodanand06 46

@stubbornlydumbo : the side of bigger triangle will be 2r+2r*rt(3)...it will be equal to the sum of twice the radius and twice the tangent length...

amodanand06
Amod Anand @amodanand06 46

@stubbornlydumbo :actually i joined the corners of smaller equilateral triangle with the corresponding corners of the bigger triangle...not the two triangles made by the two tangents and the side joining the vertex will be congruent by SAS...hence this line segment will bisect the angle making itt 30 degress each...hence in the right triangle the length of each tangent wud be rt(3) times radius..

1m ago 3.3k CAT Verbal CAT

Official verbal ability thread for CAT 2014

Amidst IIFT,NMAT and other exams preparation we have come so far and near to CAT 2014. Not so many Days (Literally) f...

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The word given below has been used in the given sentences in four different ways. Choose the option corresponding to the sentence in which the usage of the word is incorrect or inappropriate. 


BOARD

 a)Aryan tried to board up a broken window.

 b)The board has seven active members.

 c)The kneading board was plastic made.

 d)The package included bed and board.

  • 9Comments
  • A.. 4m.
  • @sawanbaing mam what is the error in A?. 1m.

16m ago 19k General Knowledge CAT

General Knowledge

Welcome to the largest General Knowledge Discussion in the world. With 18,000 questions and counting. Also over 18.4K...

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Guys please suggest any good book for static GK

  • 3Comments
  • Manorama yearbook!. 58m.
  • I will suggest you Lucent GK.. 16m.
And miles to go before I sleep.........!!!!!!!!!!  

26m ago 292 CAT

The PaGaLGuY UnderDogs Team 2014

Do you love taking up the challenge where you are considered as a person who cannot achieve the pinnacle easily but t...

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Though in unproctored mode, still m delighted with this performance.

CL UNPROC MOCK 16-

QA-29A 24C 5W- 67- Pain continues

VA- 48A 40C 8W- 112 (Stunned by this)

OA- 77A 64C 13W- 179...

Anyone gave this??? Is the paper really so easy???

  • Bhai aajkal to roz hi mock mein mache rahe ho aap. Good g.... 26m.
Dark_Passenger
Nikhar Mattu @Dark_Passenger 1.1 k

Bhai aajkal to roz hi mock mein mache rahe ho aap. Good going    

Hum balakon ko bhi koi tips de do :) 

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Hi Puys.... QADI 41

                 VALR 34

                  Total  75

 I know it's pretty low score but what would be my percentile???

  • 9Comments
  • @Huey : went fine...wbu?. 52m.
  • @eshaan.2127 it went okay. lets see what results have to say. 28m.
  9 Comments
eshaan.2127
Eshaan Agarwal @eshaan.2127 45

@Huey : yeah its true man...last time my predicted percentile was almost similar to my CAT percentile...didnt believe that but its true

29m ago 2.7k CAT Verbal CAT

Sentence Correction, Fill in the blanks, Vocabulary

Choose the option in which the usage of the word is incorrect or inappropriate.In each question, the word at the top ...

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Q.  Arrange the sentences A,  B, C and      D to form a logical sequence  &              to construct a coherent paragraph.

A. It must be viewed, as some new epidemic would be viewed, as a common peril to be met by concerted action.

B. If we are to think wisely about the new problems raised by nuclear weapons, we must learn to  view the whole matter in a quite different way.

C. These conflicts are so virulent and so passionate that they produce a wide spread inability to understand even very obvious matters.

. D. It is a profound misfortune that the whole question of nuclear warfare has become entangled in the  age-old conflicts of power politics.

https://www.youtube.com/channel/UCwA7FhAHLqqmjlVjhiwG8GQ

  • 3Comments
  • Dcba. 17h.
  • DCBA. 29m.

35m ago 687 CAT

[OFFICIAL] IMS SIMCAT scores and Discussion for the entire 2014-15 season !!!

Dear Puys & Pirls, Use this thread for scores and discussion for all the IMS SIMCATs!! It will serve as a repository ...

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SimCAT 118

QA : 102 (42/36)

VA : 91 (37/32)

OA : 193 (99.99)   

A good mock after a paltry 190 in SimCAT 13... 

CAT 2013: 97.81 Rise and shine.

The final push



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Latest Posts   

Took the test in Non-Inv mode and got

QA+DI - 91 (33C-8W)

VA+LR - 39 (15C-6W)

Can anyone help me with the percentiles?????

  • 99.7% AIR 40. 1h.
  • @SS22 thanx...any hunch on section wise percentiles?. 1h.

1h ago 153 CAT

CAT 2014 Exam day and slot discussion

Discuss about your date of exam, slot and centre in this thread.

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I dont get it!

They have given me Lucknow which was my 3rd preference and date as 22nd November.  I filled the early, I dont know if that matters but I do want to know what did I do wrong to be not given a slot in my first two preferred cities.

  • 5Comments
  • @ashishsingh_courage yeah.. thats what i meant. i got my .... 1d.
  • @gkcat14 what is your exam date and center?????. 1h.
  5 Comments
gkcat14
Roger Messi @gkcat14 202

dude, the slot has been given on a random basis. not first come - first serve. i have got a centre which is on the outskirts of bangalore, 40 kms from my house, where  as  there were a couple of venues near to my house. 

ashishsingh_courage
Be Phenomenal OR Be Forgotten @ashishsingh_courage 341

I dont think the cities are given on random basis. Maybe there were too many ppl who applied for the same centre Aditya. Whereas, the exam locations within cities are totally random.

gkcat14
Roger Messi @gkcat14 202

@ashishsingh_courage yeah.. thats what i meant. i got my 1st preference city. but the centre is too far from my home. when i had registered for CAT in the first week after it started, while ppl who registered late got centres nearer to there house.

1h ago 938 CAT Quant CAT

Permutations & Combinations - Questions & Discussions

.Can someone help me out with the following problems with some clear and simple approcah to these qustions 4 balls ar...

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How many circles can be determined out of 12 points, if 8 out of these 12 are collinear? pls explain with sol.

  • 5Comments
  • @123asd: Your answer will be true if it is mentioned that.... 14 Oct.
  • maximum no. of circles is the actual question\. 1h.
  5 Comments
venkyPradyumna
venky pradyumna @venkyPradyumna 18

answer is "cannot be determined", right? a circle passes through 3 non collinear points, but can't be sure of whether it will pass through other points.

123asd
@123asd

actually...the anwser is possible .. a cicle passes through 3 noncolliner points is 12c3 subtract 8c3 i.e.12c3-8c3=164 coz out of 12 points 8 points are colllinear they cant make a circle..

123asd
@123asd

and there is also another way..4c3+4c2*8c1+4c1*8c2=164..

venkyPradyumna
venky pradyumna @venkyPradyumna 18

@123asd: Your answer will be true if it is mentioned that any particular circle passing through 3 distinct points will not pass through any other point, but it's not mentioned here. Just draw and see that any circle might pass through not just 3 points but a 4th point, in that case you have counted same circles as 2 nos.

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A and B are at two points P and Q and they start moving towards point Q and P respectively. As soon as one reaches the end, he immediately turns back and start moving again. They keep on moving like this. 

In such type of problems, when the formula to calculate time for nth meet =  { (2n-1) * x} / (a+b), can be applied.??

x is the distance b/w P and Q. And a and b are the speeds of A and B respectively.   

Latest Posts   

A and B are at two points P and Q and they start moving towards point Q and P respectively. As soon as one reaches the end, he immediately turns back and start moving again. They keep on moving like this. 

In such type of problems, when the formula to calculate time for nth meet =  { (2n-1) * x} / (a+b), can be applied.??

x is the distance b/w P and Q. And a and b are the speeds of A and B respectively.   

1h ago 134 CAT

The PaGaLGuY Dream Team 2014

*THE PaGaLGUY Dream Team !!!!!*Most of us joined this place with *one dream*, the dream that we live every moment. We...

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Happy diwali to all DTians+UDTians+fellow puys !! Also best of luck for the coming MBA exams season. I hope many get into their desired MBA college.

  • 6 Likes   76Comments
  • It seems I really missed an intriguing chit-chatting. :s.... 1h.
Member DT 2014.  
  76 Comments

2h ago 100 CAT Quant CAT

Quant Concepts thread for CAT 2014

Hey puys, As we all are geared up to prepare ALL NEW CAT 2014, let us refresh our quant concepts bit by bit. All we n...

3h ago 91 CAT

#Word of the day with DailyVocab.com

Today's word is *Corpulent*Visit Daily Vocabulary for CAT, GRE, SAT Word List | Where meme teach Word Powerto know mo...

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in the same boat - English Hindi meaning, Pictures, Mnemonics, Word Usage
in the same boat - English Hindi meaning, Pictures, Mnemonics, Word Usage
to be in the same unpleasant situation as other people "in the same boat" Origin To be in the same boat means experiencing the same situation or condition as someone else. It was first used by the ancient Greeks. This expression refers to the risks that are shared by all the passengers in a small boat at sea.

Dailyvocab

Latest Posts   

Qa/DI=50

Va/Lr= 95
Oa=145
Dont know what is happening with me in quant.Such an easy paper especially quant section....

3h ago 418 CAT NITIE, Mumbai

[2013-15] NITIE Final Results & Related Discussions

Greetings All from Team IMPACT !! The admission results for the Management Batch of 2013-2015 are out !! The link is ...

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WL-1 in NC-OBC mg
  • 18Comments
  • yup :smiley: n all my calls are same as urs :smiley: .... 22 Apr '13.
  • can you please tell your percentile. 3h.
IIM Indore 2013-15 batch   
  18 Comments
sks1702
SKS @sks1702 37
thanks bro  and ATB for nitie and other callls, hope if we both join nitie will meet there
Pranaaaa
Pranesh P @Pranaaaa 42
yup n all my calls are same as urs i had IIM S also... that also waiting list... nyhow.. i badly want NITIE... if its written for me... will meet u there

4h ago 661 CAT

Logical Reasoning

The question is followed by two statements X and Y. Answer using the following instructions: Choose 1 if the question...

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from the choices, choose a pair in which the first statement implies the second statement and the two are logically consistent with the main statement-

Q- teachers can teach, only if students are well mannered.

A) teachers can teach.
B) students are not well mannered.
C) teachers cannot teach.
D) students are well mannered.

1)AB 2)BC 3)DA 4)CD

  • 3Comments
  • both 2 and 3 seem to be correct.. 4h.
  • if students are well mannered teachers may or may not t.... 4h.
"Aut inveniam viam aut faciam"- Hannibal
chocomota
Abhishek Chakrobrotty @chocomota 41

  if students are well mannered teachers may or may not teach ...but if students are not well mannered its sure that teachers cant teach

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AIMCAT

 1520 N - 97.13%

1519 N - 149 - ( result awaited)

1516 N - 97.71 %

1515 N - 98.3 % 

1514 N - not eligible

1513 N - 99.53 %

1512 N - 98.91 % 

1511 N  - not eligible 

1510 N - 97.48 % 

1509 N - 98.61 %

1508 N - 98.24 %

1507 N - 99.51 %

1506 N - 98.99 %

1505 N  - 158 (result awaited)

  • 2 Likes