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Geometry- Circle and its properties
by Total Gadha - Sunday, 12 August 2007, 01:48 AM
 

cat 2007 cat 2008 mba xat 2008 circle geometryBefore all the CAT 2007 aspirants give up on me, here is another big chapter on geometry to whet their appetite for CAT quant. CAT 2008 aspirants are also advised to assimilate the following theorems and results into their system as the present chapter covers one of the most important topics in MBA entrance exams- circles. Time and again, I have been told that students either have a knack for geometry or they don’t. During my three years as a quant instructor, I have seen many instructors and students who could not make head or tail of geometry in the beginning, but who worked hard at memorizing and practicing all the theorems and slowly became very good at it, and developed the required visualization powers. One thing is for sure; if you aspire to do an MBA, you are surely not escaping from geometry. And here comes one more heavy geometry dose- circles.


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Re: Geometry- Circle and its properties
by amit ahuja - Sunday, 12 August 2007, 04:02 AM
 

hi tg,

you havnt included theorams related to comman tangents which is very imp......kindly include them also so that other students also get benifited...

regards

Amit Ahuja

Re: Geometry- Circle and its properties
by Sudipt Tewari - Sunday, 12 August 2007, 04:07 AM
  Great Work TG,Jst by the look of it this is a complete reference Compendium on Cicles for CAT...Thanx & Keep up the good work approve
Re: Geometry- Circle and its properties
by chandu velamati - Sunday, 12 August 2007, 07:38 AM
  Great Work TG, The q's that appeared in previous CAT papers were tricky but you made them look simple with your explanation.approve
Re: Geometry- Circle and its properties
by chhavi mathuria - Sunday, 12 August 2007, 11:06 AM
 

hey thanx a lot tg, ths certainly ws helpful kindly upload sum more questns on circles so dat v all can practise them 2 perfection.

    chhavi mathuriabig grin

Re: Geometry- Circle and its properties
by Anant Garg - Sunday, 12 August 2007, 08:37 PM
 

Hi Total genious,

I am new to this forum. Remarkably effort you have put in to ease our pain.

 I couldn't find all the quant's lessons  in a single zipped file like "download it now". It is needed when C day is near n u want to have a glimpse of all the fundamentals of quants.I think u understand what i need.

pls take some pain n do it also. I have become really ur fan. Hats off.....big grin

Anant GArg

 

Re: Geometry- Circle and its properties
by ashish tyagi - Sunday, 12 August 2007, 08:38 PM
  gr8 work t g ,i have running  short of words for panegyric on ur article.
      thnx a lot............
Re: Geometry- Circle and its properties
by Dhruv M - Sunday, 12 August 2007, 08:48 PM
  Thanks a ton TG. Great stuff!!big grin
Re: Geometry- Circle and its properties
by Gul Gul - Monday, 13 August 2007, 09:57 AM
  smile
Re: Geometry- Circle and its properties
by Samik Bhar - Monday, 13 August 2007, 06:23 PM
 

TG Sir.......... u r Brilliant...

Its a masterpiece on Circles 4 CAT !

Keep up ur Good Work...

Keep posting more articles so dat we hv a comprehensive CAT guide in TG b4 CAT '07.

Samik

Re: Geometry- Circle and its properties
by Sujeet Shrivastava - Monday, 13 August 2007, 07:57 PM
 

Hi TG,

 

Good JOB..., Thanx a TON.  Excellent explanation..

Please post one article for Logical/analytical reasoning, one of the dangerous area for me.

Waiting for your next article...

Regards,

 

SSS

Re: Geometry- Circle and its properties
by vinay tyagi - Monday, 13 August 2007, 11:00 PM
  please post some solid problems from the subject topic to consolidate the concepts introduced and summarized so well over here...hats off to you TG sahib !!!
Re: Geometry- Circle and its properties
by kishor mane - Tuesday, 14 August 2007, 01:17 AM
  excellent work TG...
Re: Geometry- Circle and its properties
by Software Engineer - Tuesday, 14 August 2007, 11:36 AM
  @ TG (san)
Where is the article that was pasted in place of this article (on home page)?
I surfed but didn't get it.
Provide url, plz.
Re: Geometry- Circle and its properties
by Total Gadha - Wednesday, 15 August 2007, 08:22 AM
  Hi Software Engineer,

Here it is! http://totalgadha.com/mod/forum/discuss.php?d=787

Total Gadha
Re: Geometry- Circle and its properties
by Monica Yadavendra - Wednesday, 15 August 2007, 07:45 PM
  Nice one. thanks TG
Re: Geometry- Circle and its properties
by Software Engineer - Thursday, 16 August 2007, 12:15 PM
  TYsmile
Actually, i forgot the title of article.sad
Re: Geometry- Circle and its properties
by Dipti Manchanda - Thursday, 16 August 2007, 06:02 PM
 

hi tg...( a question)

gud work!! but i also wanted u to include some more fundas like when two tangents r drawn to the circle from the common point....how to find tat included angle (for eg if PT and PG are tangents to circle from comm. pt P then how do i get angle GPT). HOPE U WILL ANSWER ME!!smile

Re: Geometry- Circle and its properties
by Total Gadha - Thursday, 16 August 2007, 08:48 PM
  Hi Dipti,

Let O be the centre. The angle between the tangents, PG and PT, is = 180 - angle GOT

Angle GOT has to be found by the conditions given.

Total Gadha
Re: Geometry- Circle and its properties
by mohammad rustam - Friday, 17 August 2007, 01:44 PM
 

hi TG!!

           gud job!! kindly tell me, for geometry, NCERT books are suffcient or we have to cover any other book/s also, if so which one? (i m preparing for CAT 2008)

Re: Geometry- Circle and its properties
by don don - Friday, 24 August 2007, 09:15 PM
 

thanks a lot

its helping me lot

Re: Geometry- Circle and its properties
by the underdog - Monday, 3 September 2007, 05:52 PM
  I just went through this article and I think, as of yet, its my favourite!! There are many times when I would use equation to arrive at the answers (like in the problem which is the example for the rule AP x PB = CP x PD), but you've have solved them so elegantly and with such few steps!! Please do keep 'em coming!! smile
Re: Geometry- Circle and its properties
by King Kong - Tuesday, 4 September 2007, 05:26 PM
 

hi TG,

I came to know about this site only a few days back.. Regretting it after reading this article sad.... Awesome, elegant solutions for the questions... Keep em coming..

Cheers,

kingkong

Re: Geometry- Circle and its properties
by Balaguru A - Friday, 14 September 2007, 09:52 AM
 

hi

 tis is very good job ..

Re: Geometry- Circle and its properties
by Vipul Patki - Thursday, 3 April 2008, 03:15 PM
 

Hi TG,

 

When I appeared for my CBSE Xth std exam (in 1998), I studied from the so-called "old syllabus". The new syllabus came into effect somewhere in 2004. I am studying from online NCERT textbooks of ninth and tenth standards and I am finding them a lot different from the old books. A few theorems like that of the ratio in which the centroid divides the median and problems like the “Simpson’s line” are missing.  Also he language seems to be a lot more informal making it seem less rigorous. I am unable to get old syllabus books from the bookstores or from my school libraries.

 

I am currently out of India and will be returning only after July. Can I continue to study from the online textbooks? Please help

 Vipul

Re: Geometry- Circle and its properties
by amit kumar - Thursday, 10 July 2008, 03:26 PM
 

Hi TG please solve the problem attached.

Re: Geometry- Circle and its properties
by Ankit Thakur - Saturday, 26 July 2008, 01:51 PM
  Hi TG, can u tell me which topic we will follow after this topic.
Re: Geometry- Circle and its properties
by Krishna Chaitanya Peddi - Saturday, 26 July 2008, 03:32 PM
  Hi TG Sir,

Great work...Its amazing to see such a site.
Really you are genius.I have a problem sir .
Where are the solutions for Quiz questions available??
Please help me out in this regard sir.
Re: Geometry- Circle and its properties
by rajiv ranjan - Sunday, 27 July 2008, 10:01 AM
  hi tg,                                                                                                           plz include theorems of common tangents and some more problems of circles meeting each other externally and internally.                         rajiv                                                                                                                                                                                                                                                                                                                    rajiv                                                                   
Re: Geometry- Circle and its properties
by ankita jain - Tuesday, 5 August 2008, 01:19 PM
 

Hi TG sir

Where are the solutions for Quiz questions available??

Please help me out in this regard sir.

Sply for geometry!!!!!!!

Re: Geometry- Circle and its properties
by Debashish ... - Monday, 11 August 2008, 11:56 PM
  Is 56 units the correct answer??I have solved the problem and had given the solution as the attachment...plzz go thru it nd tell me if it's correct.
Re: Geometry- Circle and its properties
by Vaibhav Chhawchharia - Saturday, 20 September 2008, 01:03 AM
  just 2 days back I got to know about this site and it has already become the only one site on which I have surfed continuously for several hours together.. gr8 work TG.. Regards, Chotu..
Re: Geometry- Circle and its properties
by Viraj Bhise - Wednesday, 22 July 2009, 01:34 PM
 

Hi TG,

Great article. Very helpful...

Thanks...

Re: Geometry- Circle and its properties
by Nakul Kothari - Thursday, 30 July 2009, 01:46 AM
  superb......felt like i am back in class X ....thank u tg
In such a short span of time I have become a great fan of tg...buck up!!!!
Re: Geometry- Circle and its properties
by - SK - Friday, 7 August 2009, 10:37 AM
 

Thank u sooo mch TG sir..
Request you to plss keep posting...

Shiva Krishna

Re: Geometry- Circle and its properties
by abhishek tripathi - Friday, 21 August 2009, 01:14 AM
  hi  tg sir thx 4 dis lovely article quiet in lay men terms.we guys at tg.com will b very much greatful 2 u if u include theorems 2 .n besides dat sir ..tell me how 2 prepare for xat.iift.n fms as i have a believe dat dese exams are a bit tougher den cat.wid reagrds
abhishek
Re: Geometry- Circle and its properties
by aditya manolkar - Tuesday, 6 April 2010, 07:13 PM
  please download attachment and solve it using geometry concept only.
post answers
Re: Geometry- Circle and its properties
by TG Team - Thursday, 8 April 2010, 04:29 PM
 

Aditya smile

Just see the figure attached below:

You are to just (I hope you can) visualise or realise that yellow triangle is equilateral and thus yellow + green area is 1/6th of circle with radius 5.

Now calculate whatever area you want to.

[prerequisite - you must know how to calculate area of equilateral triangle of given side and area of circle with given radius.


Re: Geometry- Circle and its properties
by Siddhartha Bhasker - Tuesday, 17 August 2010, 11:27 PM
  Short and precise..gr8 lesson..thanks a lot !
Re: Geometry- Circle and its properties
by Shweta Pratap - Friday, 18 March 2011, 12:06 AM
 

Hi TG,

Thanks a lot for this lesson..Concepts covered with some good examples..

Re: Geometry- Circle and its properties
by abhishek abhi - Saturday, 1 October 2011, 10:22 PM
  thanks a zillion ton!!!
tongueout tongueout
Re: Geometry- Circle and its properties
by abhishek abhi - Sunday, 2 October 2011, 09:25 PM
  COULD'T HAVE ASKED ANY MOOOOOOORE ON CIRCLES FROM TG. sad sad sad sad sad
Re: Geometry- Circle and its properties
by abhishek abhi - Sunday, 2 October 2011, 09:33 PM
  ANSWER IS :

(AREAOF CIRCLE OF RADIUS 5-(6 TIMES AREA OF EQUILATERAL OF SIDE 5))WHOLE DIVIDED BY 6
Re: Geometry- Circle and its properties
by sandeep mantrala - Wednesday, 5 October 2011, 08:17 AM
  Good Work. Thanks for the willingness of presenting your hard work selflessly. I am looking for more emphasis on Tangents and related concepts. Any help would be highly appreciated.
Re: Geometry- Circle and its properties
by Arpit Jain - Monday, 17 October 2011, 03:07 AM
 
Sir, in this question
I am getting answer as 67.5 degree.
angle(ADB)=90 (angle in semicircle)
angle(DOB)=180-angle(AOD)=135
now,in triangle OBD
angle(OBD)=1/2angle(AOD)=22.5 (angle subtended by arc at the center is double the angle subtended by it at any point on the remaining part of the circumference)
so,angle(BDO)=180-(135+22.5)=22.5
no,
angle(ADB)=90 (angle in semicircle)
so angle(ADO)=angle(ADC)=90-angle(ODB)=90-22.5=67.5 degree.

Sir,what am I doing here?
Please clarify..

Re: Geometry- Circle and its properties
by TG Team - Tuesday, 18 October 2011, 12:23 PM
 

Hi Arpit smile

You have (wrongly) assumed O to be center of the circle. But O is only intersection of AB and CD.

Kamal Lohia

Re: Geometry- Circle and its properties
by Arpit Jain - Tuesday, 18 October 2011, 04:52 PM
  Thanks a lot for replying!
Yeah I took O as center angry Idiot me!!
Re: Geometry- Circle and its properties
by ankit SAHAY - Monday, 9 September 2013, 10:23 PM
  hi,
can someone pls help me out with this question?:

From a point outside a circle of radius 15 cm, two tangents are drawn to the circle. The angle between the tangents is 74°. Find the area of the triangle formed by the tangents and the chord joining the points of contact. (sin37° = 0.6)

a)384 cm2
b)96 cm2
c)192 cm2
d)225 cm2
Re: Geometry- Circle and its properties
by Anindya Basu - Friday, 20 June 2014, 03:38 PM
  sin 37 = 0.6
=> cos 37 = 0.8

1/2 of chord = radius x cos 37 = 15 x 0.8 = 12

length of tangent x sin 37 = 12
=> length of tangent = 12/0.6 = 20

=> height of target triangle = 20 x cos 37 = 16

Area of triangle = 1/2 x 24 x 20 = 192
Re: Geometry- Circle and its properties
by Prateek Maggo - Wednesday, 30 July 2014, 07:44 PM
  Sir, plz explain as to why the area of yellow + green is 1/6th? How did u reach that conclusion? surprise
Re: Geometry- Circle and its properties
by TG Team - Thursday, 31 July 2014, 10:48 AM
  Hi Prateek smile

Can you see the shape formed by Yellow + Green region combined?

It is a sector..isn't it?

Ok. Now tell me the method/formula to find area of a sector.. and secondly do you have all necessary information to find area of this sector?

Hope it helps. smile

Kamal Lohia
Re: Geometry- Circle and its properties
by surinder tiwari - Tuesday, 14 April 2015, 11:47 PM
  please help me with this problem.

Let ABCD is a quadrilateral inscribed in a circle. suppose AB = rt(2+rt 2) and AB subtends an angle of 135 at the center of the circle. find maximum possible area of the quadrilateral formed