Let's have this thread for discussion of questions related to Geometry. Here is the link to the previous year's Geometry thread. http://www.pagalguy.com/forum/quantitative-questions-and-answers/69681-geometry-for-cat-2011-a.html All the best for CAT 2012 journey!!! [smiley]
Let the centre of the bigger circle be C and that of the smaller one be B. Drop a perpendicular from B to CP; at suppose S. As angle CPQ and angle BQP ar 90 dergrees, PQBS is a rectangle. Thus CS = CP-SP = 9-4 = 5. In triangle CBS, CS^2 + BS^2 = CB^2 ; and so, 5^2 + BS^2 = (9+4)^2 or BS^2 = 169...
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aeris
difference between radii=5
centre distance= 13
thus third....
10 May.
Q- Two circles of radius 9 cm n 4 cm resp. touch each other externally at a point n common tangents touches them at the point P n Q resp. then the area of square with one side PQ is...
pls give detailed solution with figure puys???????? @maddy2807
Let the centre of the bigger circle be C and that of the smaller one be B.
Drop a perpendicular from B to CP; at suppose S.
As angle CPQ and angle BQP ar 90 dergrees, PQBS is a rectangle. Thus CS = CP-SP = 9-4 = 5.
In triangle CBS, CS^2 + BS^2 = CB^2 ; and so, 5^2 + BS^2 = (9+4)^2
or BS^2 = 169-25 = 144
As PQ = BS, therefore PQ^2 = 144.
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aeris
difference between radii=5 centre distance= 13 thus third side has to be 12.......(5-12-13 pythagoran triplet) thus area of square= 12*12= 144
Q- Two circles of radius 9 cm n 4 cm resp. touch each other externally at a point n common tangents touches them at the point P n Q resp. then the area of square with one side PQ is... pls give detailed solution with figure puys???????? @maddy2807
Q- Two circles of radius 9 cm n 4 cm resp. touch each other externally at a point n common tangents touches them at the point P n Q resp. then the area of square with one side PQ is...
pls give detailed solution with figure puys???????? @maddy2807
जो हुआ उसे भूल कर अपनी दुनिया मैं नया कदम रखना,यह दुनिया है बड़ी बेरहम, तुम अपनी मंज़िल पर नज़र रखना
Area of equi triangle gives that side of the triangle = 6 Now , let the side of the square be X. So we have a right angled triangle with one angle 60' and sides x and (6-x)/2 So tan60 = x / (6-x)/2 Solve this and get x
The area of n eqilateral Triangle is 9rt3 Sq cm Can u tell me what is the side of a square of maximum area which can be inscribed inside the Triangle??????
Area of equi triangle gives that side of the triangle = 6 Now , let the side of the square be X. So we have a right angled triangle with one angle 60' and sides x and (6-x)/2 So tan60 = x / (6-x)/2 Solve this and get x
The area of n eqilateral Triangle is 9rt3 Sq cm Can u tell me what is the side of a square of maximum area which can be inscribed inside the Triangle??????
The area of n eqilateral Triangle is 9rt3 Sq cm Can u tell me what is the side of a square of maximum area which can be inscribed inside the Triangle??????
@abeerash Imagine it like a whole cylinder of water coming out. So if water was flowing straight out of the vessel imagine a cylinder of length 1000 cm and radius 0.25 cm comes out in 1 min. 1000 cm in itself is a unit of length, and not of volume.
It's a unit of length and not volume. I get it now.Thanks man!!
Thanks for the answer.The doubt was that in the question it says 'Water flows out at the rate of 10m/min from a cylindrical pipe of diameter 5mm'. So what I inferred from it was that we dint need the radius of the pipe and could directly divide it by 1000. Why do we have to multiply it with the ...
@abeerash Volume of cone is 1/3 pi r^2 h = (1/3) pi (20)^2 * 24 ..... all units in centimeters[diameter = 40 cm, r = radius = 20 cm]Volume of water following our per min from cylindrical pipe = pi r^2 h = pi (0.25)^2 * 1000[diameter = 5 mm = 0.5 cm, r = radius = 0.25 cm, h = speed = 10 m = 1000 cm]Time taken (min) = Volume of cone / (volume flowing per minute)
Thanks for the answer.The doubt was that in the question it says
'Water flows out at the rate of 10m/min from a cylindrical pipe of diameter 5mm'. So what I inferred from it was that we dint need the radius of the pipe and could directly divide it by 1000. Why do we have to multiply it with the radius.Confusing.
Water flows out at the rate of 10m/min from a cylindrical pipe of diameter 5mm.Find the time time taken to fill a conical tank whose diameter at the surface is 40cm and the depth is 24cm.
Water flows out at the rate of 10m/min from a cylindrical pipe of diameter 5mm.Find the time time taken to fill a conical tank whose diameter at the surface is 40cm and the depth is 24cm.
1)Circumcentre = 2 X Incentre2)Circumcentre=Side/root(3) and incentre=Side/2root(3) Are the above relations true just for equilateral triangles or any kind of triangle? ? ?
@quant89 Hey...In triangle ABC, AB= 24 cm ( Pythagoras theorem). Then, in triangle ADC ,use angle bisector theorem which gives us AB/AC = BD/DC. Substituting the value we get 24/25=BD/BD+7 . Solve and you get BD as 168 cm. Now, CD= BD+BC= 168+7=175 cm .
@quant89 Hey...In triangle ABC, AB= 24 cm ( Pythagoras theorem). Then, in triangle ADC ,use angle bisector theorem which gives us AB/AC = BD/DC. Substituting the value we get 24/25=BD/BD+7 . Solve and you get BD as 168 cm. Now, CD= BD+BC= 168+7=175 cm . :)
@quant89 Hey...In triangle ABC, AB= 24 cm ( Pythagoras theorem). Then, in triangle ADC ,use angle bisector theorem which gives us AB/AC = BD/DC. Substituting the value we get 24/25=BD/BD+7 . Solve and you get BD as 168 cm. Now, CD= BD+BC= 168+7=175 cm . :)
ABC is a right angled triangle, right angled at B. The external bisector of angle A meets CB produced at D. If AC = 25 cm, BC = 7cm, find the length of CD. This Q is from TIME material ans is 175 cm can any1 help me with illustrated solution of this Q since i couldn't understand the soln...
ABC is a right angled triangle, right angled at B. The external bisector of angle A meets CB produced at D. If AC = 25 cm, BC = 7cm, find the length of CD. This Q is from TIME material ans is 175 cm
can any1 help me with illustrated solution of this Q since i couldn't understand the soln given in the book.
Subtract eqn (1) from (2) 21 = QT^2 - ST^2 Now, 21 can be written as 5^2 - 2^2 or 11^2 - 10^2 But we will eliminate the second choice as side QR (QT = TR) will be then 22 which is not possible. So QT = 5 and so QR = 10... Check the attachment.
@pooja888 Didnt really understand ur symmetry concept..but it isnt required i guess.. Let radii be R, a ,b.. then the sides become R-a, R-b, a+b..hence perimeter becomes 2R.. was quite a sitter...
@pooja888 Didnt really understand ur symmetry concept..but it isnt required i guess.. Let radii be R, a ,b.. then the sides become R-a, R-b, a+b..hence perimeter becomes 2R.. was quite a sitter...
cn any one pls explain me the q no 14 of LOD 2 of geometry in arun sharma hw to solv itThe equlatral triangle.........................I m raeding it online so i dnt hv book to post the pic
See, if you will join the centres of the circle to the point of contact of the outer boundary for the respective circles, you will get three straight lines of 2cm each. So, 6 cm. Now, rest part that is on the circumference of the circle is nothing but 3*the circumference of 120 degree arc of t...
3 circular arc shared by 3 drums each subtending 120 degree angle at respective centre
which is effectively equal to circumfrence of one drum.
i m nt able to undrstand ths concept
See, if you will join the centres of the circle to the point of contact of the outer boundary for the respective circles, you will get three straight lines of 2cm each. So, 6 cm.
Now, rest part that is on the circumference of the circle is nothing but 3*the circumference of 120 degree arc of the circle. The part that is on the circumference will subtend a angle of 120 degrees at the centre.
No fool like an old fool. http://www.pagalguy.com/forums/cat-and-related-bschools/pagalguy-dream-team-2012-t-83955/p-3594200/r-4344097
@chatman 3 circular arc shared by 3 drums each subtending 120 degree angle at respective centrewhich is effectively equal to circumfrence of one drum. i m nt able to undrstand ths concept :-(
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