Upload
others
View
1
Download
0
Embed Size (px)
Citation preview
JEECONCEPTSBOOSTER
CIRCLES
DownloadDoubtnutToday
QuesNo. Question
1
CONCEPTFORJEE||ChapterCIRCLES
1.INTRODUCTION
1.Standardequationofcircle
ClicktoLEARNthisconcept/topiconDoubtnut
2
CONCEPTFORJEE||ChapterCIRCLES
2.SOMEPARTICULARCASESFOREQUATIONOFTHECIRCLE.
1.GeneralEquationofCircleWhenthecirclepassesthroughtheorigin.
ClicktoLEARNthisconcept/topiconDoubtnut
3
CONCEPTFORJEE||ChapterCIRCLES
2.SOMEPARTICULARCASESFOREQUATIONOFTHECIRCLE.
2.GeneralEquationofCircleWhenthecircletouchxaxisandyaxis.
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/9zwbNl7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY4OQ%3D%3Dhttps://doubtnut.app.link/gY6u8n7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5MA%3D%3Dhttps://doubtnut.app.link/Ec6akq7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc2NQ%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQ
4
CONCEPTFORJEE||ChapterCIRCLES
2.SOMEPARTICULARCASESFOREQUATIONOFTHECIRCLE.
3.GeneralEquationofCircleWhenthecircletouchesboththeaxis.
ClicktoLEARNthisconcept/topiconDoubtnut
5
CONCEPTFORJEE||ChapterCIRCLES
3.SOMEPARTICULARCASES
1.Importantpointstoremember
ClicktoLEARNthisconcept/topiconDoubtnut
6
CONCEPTFORJEE||ChapterCIRCLES
3.SOMEPARTICULARCASES
2.FindtheEquation;radius;centerofthecircleanditsxinterceptandyintercept?
ClicktoLEARNthisconcept/topiconDoubtnut
7
CONCEPTFORJEE||ChapterCIRCLES
4.GENERALEQUATIONOFCIRCLE
1.Theorem:-Provethattheequationx2 + y2 + 2gx + 2fy + c = 0
alwaysrepresentacirclewhosecentreis( - g; - f)andradius√g2 + f2 - c
ClicktoLEARNthisconcept/topiconDoubtnut
CONCEPTFORJEE||ChapterCIRCLES
5.DIFFERENTFORMSOFCIRCLE
https://doubtnut.app.link/pF5FZs7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc2Ng%3D%3Dhttps://doubtnut.app.link/APsJsE7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5MQ%3D%3Dhttps://doubtnut.app.link/n9sayG7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5Mg%3D%3Dhttps://doubtnut.app.link/p0cZKI7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5Mw%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/ySwCHK7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5NA%3D%3D
81.Diameterformofthecircle
ClicktoLEARNthisconcept/topiconDoubtnut
9
CONCEPTFORJEE||ChapterCIRCLES
5.DIFFERENTFORMSOFCIRCLE
2.Parametricformofcircle
ClicktoLEARNthisconcept/topiconDoubtnut
10
CONCEPTFORJEE||ChapterCIRCLES
5.DIFFERENTFORMSOFCIRCLE
3.Equationofacirclepassingthrough3points
ClicktoLEARNthisconcept/topiconDoubtnut
11
CONCEPTFORJEE||ChapterCIRCLES
5.DIFFERENTFORMSOFCIRCLE
4.Equationofacirclewithequationoftangentandradius
ClicktoLEARNthisconcept/topiconDoubtnut
12
CONCEPTFORJEE||ChapterCIRCLES
6.EQUATIONOFCIRCLEWITHTYPICALCONDITIONS
1.Equationwhenthecircletouchesthexaxisat (α; 0)andcutsoffinterceptontheyaxisoflength2l
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/ySwCHK7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5NA%3D%3Dhttps://doubtnut.app.link/PJWRRM7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5NQ%3D%3Dhttps://doubtnut.app.link/i7HTTO7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5Ng%3D%3Dhttps://doubtnut.app.link/QcW5dR7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5Nw%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/9GlsxT7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5OA%3D%3D
13
CONCEPTFORJEE||ChapterCIRCLES
6.EQUATIONOFCIRCLEWITHTYPICALCONDITIONS
2.Equationwhenthecircletouchestheyaxisat(0; β)andcutsoffinterceptonthexaxisoflength2k.
ClicktoLEARNthisconcept/topiconDoubtnut
14
CONCEPTFORJEE||ChapterCIRCLES
7.POSITIONOFPOINTSWITHRESPECTTOACIRCLE
1.WhatisthePositionofpointwrttocircle
ClicktoLEARNthisconcept/topiconDoubtnut
15
CONCEPTFORJEE||ChapterCIRCLES
7.POSITIONOFPOINTSWITHRESPECTTOACIRCLE
2.Maximumandminimumdistanceofpointfromthecircle.
ClicktoLEARNthisconcept/topiconDoubtnut
16
CONCEPTFORJEE||ChapterCIRCLES
8.DIFFERENTCASESFORINTERSECTIONOFALINEANDACIRCLE
1.CHORD:IntersectionPointofLineandCircleareRealandDistinct.
ClicktoLEARNthisconcept/topiconDoubtnut
17
CONCEPTFORJEE||ChapterCIRCLES
8.DIFFERENTCASESFORINTERSECTIONOFALINEANDACIRCLE
2.TANGENT:IntersectionpointoflineandCircleareCoincident.
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/ehUWsV7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTY5OQ%3D%3Dhttps://doubtnut.app.link/5trUjX7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwMA%3D%3Dhttps://doubtnut.app.link/hiCB8Y7oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwMQ%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/h5juC37oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwMg%3D%3Dhttps://doubtnut.app.link/4wQja67oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc2Nw%3D%3D
18
CONCEPTFORJEE||ChapterCIRCLES
8.DIFFERENTCASESFORINTERSECTIONOFALINEANDACIRCLE
3.LineandCirclehaveNoIntersectionPoint.
ClicktoLEARNthisconcept/topiconDoubtnut
19
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
1.SegmentofSecants;Chords;Tangent
ClicktoLEARNthisconcept/topiconDoubtnut
20
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
2.Differentformoftheequationoftangent:-PointForm
ClicktoLEARNthisconcept/topiconDoubtnut
21
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
3.Differentformoftheequationoftangent:-SlopeForm
ClicktoLEARNthisconcept/topiconDoubtnut
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
https://doubtnut.app.link/1pM9D87oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc2OA%3D%3Dhttps://doubtnut.app.link/172Ipa8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwMw%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/eB2Fkc8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwNA%3D%3Dhttps://doubtnut.app.link/2APu8d8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwNQ%3D%3Dhttps://doubtnut.app.link/KBJZqg8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwNg%3D%3D
22 4.TangentsfromaPointOutsidethecircle.
ClicktoLEARNthisconcept/topiconDoubtnut
23
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
5.LengthoftangentfromaPointtoaCircle.
ClicktoLEARNthisconcept/topiconDoubtnut
24
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
6.Conditionforwhichcirclecanbedrawninquadrilateral
ClicktoLEARNthisconcept/topiconDoubtnut
25
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
7.Equationofpairoftangents
ClicktoLEARNthisconcept/topiconDoubtnut
26
CONCEPTFORJEE||ChapterCIRCLES
9.TANGENTTOACIRCLEATAGIVENPOINT
8.Locusofintersectionoftangentsifanglebetweentangentistheta
ClicktoLEARNthisconcept/topiconDoubtnut
CONCEPTFORJEE||ChapterCIRCLES
https://doubtnut.app.link/KBJZqg8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwNg%3D%3Dhttps://doubtnut.app.link/IvrLqi8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwNw%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/lg1Qkk8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwOA%3D%3Dhttps://doubtnut.app.link/Aku05m8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcwOQ%3D%3Dhttps://doubtnut.app.link/jaqGWo8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxMA%3D%3Dhttps://doubtnut.app.link/8TisSq8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxMQ%3D%3D
2710.NORMALTOACIRCLEATAGIVENPOINT
1.EquationofnormalinPointform
ClicktoLEARNthisconcept/topiconDoubtnut
28
CONCEPTFORJEE||ChapterCIRCLES
11.CHORDOFCONTACT
1.Chordofcontactfromapoint
ClicktoLEARNthisconcept/topiconDoubtnut
29
CONCEPTFORJEE||ChapterCIRCLES
11.CHORDOFCONTACT
2.Equationofchordbisectedatgivenpoint
ClicktoLEARNthisconcept/topiconDoubtnut
30
CONCEPTFORJEE||ChapterCIRCLES
12.DIRECTORCIRCLEANDITSEQUATION
1.DirectorCircleandequation
ClicktoLEARNthisconcept/topiconDoubtnut
31
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
1.CommonTangentsofTwoCircles-DirectandTransverseCommonTangent
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/8TisSq8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxMQ%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/vXjAGs8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxMg%3D%3Dhttps://doubtnut.app.link/4nx6Bu8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxMw%3D%3Dhttps://doubtnut.app.link/9ZtVrw8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxNA%3D%3Dhttps://doubtnut.app.link/LoySDy8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTQ2NzQ2OA%3D%3D
32
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
2.No.ofDirectandTransverseCommonTangentsWhen C1C2 > r1 + r2
ClicktoLEARNthisconcept/topiconDoubtnut
33
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
3.No.ofDirectandTransverseCommonTangentsWhen C1C2 = r1 + r2
ClicktoLEARNthisconcept/topiconDoubtnut
34
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
4.No.ofDirectandTransverseCommonTangentsWhen r1 - r2 < C1C2 < r1 + r2
ClicktoLEARNthisconcept/topiconDoubtnut
35
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
5.No.ofDirectandTransverseCommonTangentsWhen C1C2 = r1 - r2
ClicktoLEARNthisconcept/topiconDoubtnut
| |
| |
| | | |
| | | |
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/2cfNXA8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxNQ%3D%3Dhttps://doubtnut.app.link/rDo0CD8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxNg%3D%3Dhttps://doubtnut.app.link/80b9kF8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxNw%3D%3Dhttps://doubtnut.app.link/Kt6kkH8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxOA%3D%3D
36
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
6.No.ofDirectandTransverseCommonTangentsWhen C1C2 < r1 - r2
ClicktoLEARNthisconcept/topiconDoubtnut
37
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
7.LengthofDirectandtransversecommontangent
ClicktoLEARNthisconcept/topiconDoubtnut
38
CONCEPTFORJEE||ChapterCIRCLES
13.DIFFERENTCASESOFTWOCIRCLES
8. Find all the common tangent to the circles x2 + y2 - 2x - 6y + 9 = 0 andx2 + y2 + 6x - 2y + 1 = 0. Find the length of the direct common tangent and indirectcommontangent.
ClicktoLEARNthisconcept/topiconDoubtnut
39
CONCEPTFORJEE||ChapterCIRCLES
14.ANGLEOFINTERSECTIONOFTWOCIRCLES.
1.Angleofintersectionoftwocircleandorthogonalintersectionofcircles
ClicktoLEARNthisconcept/topiconDoubtnut
| | | |
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/nl1RSI8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcxOQ%3D%3Dhttps://doubtnut.app.link/wSEbVK8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyMA%3D%3Dhttps://doubtnut.app.link/oLnRJM8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyMQ%3D%3Dhttps://doubtnut.app.link/vTUKMO8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyMg%3D%3D
40
CONCEPTFORJEE||ChapterCIRCLES
15.ORTHOGONALINTERSECTIONOFCIRCLES
1.Ifnconsecutivecircletoucheachotherandhave2commontangentsthanrelationbetweenradiusofcircle.
ClicktoLEARNthisconcept/topiconDoubtnut
41
CONCEPTFORJEE||ChapterCIRCLES
16.PROPERTIESOFRADICALAXIS
1.(i)Theradicalaxisisperpendiculartothelinejoiningthecentresofthegivencircles.
ClicktoLEARNthisconcept/topiconDoubtnut
42
CONCEPTFORJEE||ChapterCIRCLES
16.PROPERTIESOFRADICALAXIS
2.(ii)Theradicalaxisbisectsthecommontangentsoftwocircles.
ClicktoLEARNthisconcept/topiconDoubtnut
43
CONCEPTFORJEE||ChapterCIRCLES
16.PROPERTIESOFRADICALAXIS
3.(iii)Iftwocirclescutathirdcircleorthogonally;thentheradicalaxisoftwocirclewillpassthroughthecenterofthethirdcircle.
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/Cecw5Q8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyMw%3D%3Dhttps://doubtnut.app.link/zPSJKT8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyNA%3D%3Dhttps://doubtnut.app.link/x4GW0V8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyNQ%3D%3Dhttps://doubtnut.app.link/L1bO7X8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyNg%3D%3D
44
CONCEPTFORJEE||ChapterCIRCLES
16.PROPERTIESOFRADICALAXIS
4.(iv)Thepositionoftheradicalaxisofthetwocirclesgeometricallyisas:
ClicktoLEARNthisconcept/topiconDoubtnut
45
CONCEPTFORJEE||ChapterCIRCLES
17.RADICALCENTER
1.IntroductiontoRadicalCenter
ClicktoLEARNthisconcept/topiconDoubtnut
46
CONCEPTFORJEE||ChapterCIRCLES
18.COMMONCHORDOFTWOCIRCLES
1.Equationofcommonchordandlengthofcommonchord
ClicktoLEARNthisconcept/topiconDoubtnut
47
CONCEPTFORJEE||ChapterCIRCLES
19.FAMILYOFCIRCLES
1. Property 1: The equation of the family of circles passing through the point ofintersectionoftwogivencircles.
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/x22H8Z8oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyNw%3D%3Dhttps://doubtnut.app.link/5RCWk28oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyOA%3D%3Dhttps://doubtnut.app.link/mcLH138oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTcyOQ%3D%3Dhttps://doubtnut.app.link/8cAam68oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTMzOTczMA%3D%3D
48
CONCEPTFORJEE||ChapterCIRCLES
19.FAMILYOFCIRCLES
2. Property 2: The equation of the family of circles passing through the point ofintersectionoflineandcircle
ClicktoLEARNthisconcept/topiconDoubtnut
49
CONCEPTFORJEE||ChapterCIRCLES
19.FAMILYOFCIRCLES
3.Property3:Theequationofthefamilyofcirclestouchingthecirclesandlineattheirpointofcontactis
ClicktoLEARNthisconcept/topiconDoubtnut
50
CONCEPTFORJEE||ChapterCIRCLES
19.FAMILYOFCIRCLES
4.Property4:Theequationofthefamilyofcirclespassingthroughtwogivenpoints
P x1, y1 and Q x2, y2
ClicktoLEARNthisconcept/topiconDoubtnut
51
CONCEPTFORJEE||ChapterCIRCLES
19.FAMILYOFCIRCLES
6. Property 5:The equation of family of circlewhich touches y - y1 = m x - x1 at
x1; y1 foranyfinitemis
ClicktoLEARNthisconcept/topiconDoubtnut
( ) ( )
( ) ( )( )
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/5oEdk88oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3Mw%3D%3Dhttps://doubtnut.app.link/qOWiV98oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3NA%3D%3Dhttps://doubtnut.app.link/xi2TAb9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3NQ%3D%3Dhttps://doubtnut.app.link/SXehvd9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3Ng%3D%3D
52
CONCEPTFORJEE||ChapterCIRCLES
19.FAMILYOFCIRCLES
7.EquationofacirclecircumscribingatrianglewhosesidesareL1=0;L2=0andL3=0
ClicktoLEARNthisconcept/topiconDoubtnut
53
CONCEPTFORJEE||ChapterCIRCLES
20.RADICALAXIS
1.IntroductiontoRadicalAxis
ClicktoLEARNthisconcept/topiconDoubtnut
54
CONCEPTFORJEE||ChapterCIRCLES
21.PROPERTIESOFRADICALCENTER
1. The coordinates of the radical center can be found by solving the equation`S_1=S_2=S_3
ClicktoLEARNthisconcept/topiconDoubtnut
55
CONCEPTFORJEE||ChapterCIRCLES
21.PROPERTIESOFRADICALCENTER
2. The radical center of the three circles described on the sides of a triangle asdiametersistheorthocenterofatriangle.
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/dX83qf9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3Nw%3D%3Dhttps://doubtnut.app.link/aHpp0g9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc2OQ%3D%3Dhttps://doubtnut.app.link/DTKFcj9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3MA%3D%3Dhttps://doubtnut.app.link/aoV32k9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3MQ%3D%3D
56
CONCEPTFORJEE||ChapterCIRCLES
21.PROPERTIESOFRADICALCENTER
3.Theradicalcenterof threegivencircleswillbe thecenterofa fourthcirclewhichcutsallthethreecirclesorthogonally.
ClicktoLEARNthisconcept/topiconDoubtnut
57
CONCEPTFORJEE||ChapterCIRCLES
22.LIMITINGPOINT
1.Limitingpointsofthecoaxialsystem
ClicktoLEARNthisconcept/topiconDoubtnut
58
CONCEPTFORJEE||ChapterCIRCLES
22.LIMITINGPOINT
2.Systemofco-axialcircleswhosetwolimitingpointaregiven.
ClicktoLEARNthisconcept/topiconDoubtnut
59
CONCEPTFORJEE||ChapterCIRCLES
23.IMAGEOFTHECIRCLEBYTHELINEMIRROR
1.Introduction
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/aYMzUm9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3Mg%3D%3Dhttps://doubtnut.app.link/LqE8Jo9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3OA%3D%3Dhttps://doubtnut.app.link/nKQsIq9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc3OQ%3D%3Dhttps://doubtnut.app.link/Xic6Gs9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc4MA%3D%3D
60
CONCEPTFORJEE||ChapterCIRCLES
24.POLEANDPOLAR
1.Definitionandmeaningofpoleandpolar
ClicktoLEARNthisconcept/topiconDoubtnut
61
CONCEPTFORJEE||ChapterCIRCLES
24.POLEANDPOLAR
2.Propertiesandapplications
ClicktoLEARNthisconcept/topiconDoubtnut
62
CONCEPTFORJEE||ChapterCIRCLES
25.Powerofapoint
1.PowerofaPointWithrespecttoCirclewhenpointisoutsideacircle
ClicktoLEARNthisconcept/topiconDoubtnut
63
CONCEPTFORJEE||ChapterCIRCLES
25.Powerofapoint
2.PowerofaPointWithrespecttoCirclewhenpointisinsideacircle
ClicktoLEARNthisconcept/topiconDoubtnut
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/pxtDRu9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc4MQ%3D%3Dhttps://doubtnut.app.link/TNniMw9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTM0MDc4Mg%3D%3Dhttps://doubtnut.app.link/9Fy5Fy9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTUwNjgxMQ%3D%3Dhttps://doubtnut.app.link/d89KyA9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTUwNjgxOQ%3D%3D
64
CONCEPTFORJEE||ChapterCIRCLES
26.INTERSECTIONWITHOTHERCONICS
1.INTERSECTIONOFCIRCLEWITHPARABOLA
ClicktoLEARNthisconcept/topiconDoubtnut
65
CONCEPTFORJEE||ChapterCIRCLES
26.INTERSECTIONWITHOTHERCONICS
2.INTERSECTIONOFCIRCLEWITHELLIPSE
ClicktoLEARNthisconcept/topiconDoubtnut
66
CONCEPTFORJEE||ChapterCIRCLES
26.INTERSECTIONWITHOTHERCONICS
3.INTERSECTIONOFCIRCLEWITHHYPERBOLA
ClicktoLEARNthisconcept/topiconDoubtnut
67
CONCEPTFORJEE||ChapterCIRCLES
26.INTERSECTIONWITHOTHERCONICS
4.INTERSECTIONOFCIRCLEWITHOTHERCURVES
ClicktoLEARNthisconcept/topiconDoubtnut
DownloadDoubtnuttoAskAnyMathQuestionByjustaclick
GetAVideoSolutionForFreeinSeconds
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/UdQslC9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTU4Nzk5NA%3D%3Dhttps://doubtnut.app.link/5IEYeE9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTU4ODAwMw%3D%3Dhttps://doubtnut.app.link/7kmk9F9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTU4ODAwOA%3D%3Dhttps://doubtnut.app.link/II1smK9oIQ?$fallback_url=https%3A%2F%2Fdoubtnut.com%2Fvideo%2Fdefault%2Fdefault%2FMTU4ODAxMw%3D%3Dhttps://doubtnut.app.link/TcKENhKmIQ
DoubtnutHasMoreThan1LakhVideoSolutions
Free Video Solutions of NCERT, RD Sharma, RS Aggarwal, Cengage(G.Tewani), Resonance DPP, Allen, Bansal, FIITJEE, Akash, Narayana,VidyaMandir
DownloadDoubtnutToday
https://doubtnut.app.link/TcKENhKmIQhttps://doubtnut.app.link/TcKENhKmIQ