syllabus nsejs

7/24/2019 Syllabus nsejs

1/9

S.no NSEJS SYLLABUS

1 Triangle and its properties2 Inequalities,3 Introduction to Trigonometry4 Circles

5 Number System6 inear !quations in T"o #ariables$ %uadratic !quations& Coordinate 'eometry( )rit*metic +rogressions

1 %-)./I )T!/) S11 /eal Numbers


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S.no INJSO SYLLABUS

1 )rit*metic o0 Integers,2 'eometry,3 %uadratic !quations and ! pressions,4 Trigonometry,

5 Co rdinate 'eometry,6 System o0 inear !quations,$ +ermutations )nd Combination,& actori ation 0 +olynomial,( Inequalities,

1 !lementary Combinatorics,11 +robability T*eory and Number T*eory,12 inite Series and Comple Numbers )nd13 !lementary 'rap* T*eory


3/9

MODULE NO. Topic

1

2

3 Inequations

4 Polynomials

5 Polynomials

6 Co-ordinate Geometry


8 Linear Equation in T o !aria"le

# Lines and $n%les and Trian%les1& 'uadrilateral11 $reas o( Parallelo%ram and Trian%les12 Cir)les13 *tatisti)s14 *ur(a)e $rea and !olume15 Cir)les16 Pro"a"ility17 *et+ ,elation and un)tion18 ,eal .um"er

1# Elementary Com"inatori)s+

2& Tri%onometry21 Tri%onometry

22 'uadrati) equations

23 'uadrati) equations24 $rt/emati) Pro%ression

25 $rt/emati) Pro%ression

26 Inequations

.um"ers Indi)es *urds andLo%arit/ams



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Concepts of Topics class

*urds-*quqre root o( a surd+ Cu"e root o( a surd #

Lo%art/am-0ro0erties #

asi) 0ro0erties inequalities #

#

a)tor t/eorem and remainder t/eorem #

#

#

#

0arallel lines a00li)tions and )on%rurent trian%les a00li)ations #Tre0i um +Parallelo%ram a00li)ations #

Plane (i%ure area and its a00li)tions and )ar0et t/reom #Tan%ets to )ir)le #

ean+ edian+ ode (or Grou0ed data #Pro"lems on rustum o( Cone #

$reas related to )ir)les # $ddition T/eorem it/ el0 o( *ets #

*ets- asi)s+ o0erations+ !enn ia%rams #.um"er t/eory Con%ruen)e odulo t/eory #

#

Pro"lems "ased on Identities #Pro"lems "ased on Com0und+ multi0le and su"-multi0le an%les #

#

Positi9e and .e%ati9e real roots (or a quadrati) e:0ressions #G;P and ;P #

#

0ro0erties modulus +$; ;+G; ;+ ; ; #

rt/o)entre id 0oint

ormulae and its a00li)ation + $rea ormulaei((erent (orm line equations+ $n%le "et een lines and istan)e

"et een line and 0oint;*olution o( Linear equations *u"stitution met/od + )ross

multi0li)ation met/od

undamental t/reom addition and multi0li)ation+ 0ermutations and)om"inations

,elation "et een )oe((i)ents and roots o( t/e equations+a:imun or inimum o( t/e quadrati) e:0ressions

Pro"lems on in(inite G;P and di((eren)e met/od to sol9e t/esequen)e


5/9

2 /rs;

2 /rs;

2 /rs;

2 /rs;

2 /rs;

4 /rs;

4 /rs;

2 /rs;

2 /rs;2 /rs;4 /rs;2 /rs;2 /rs;2 /rs;2 /rs;2 /rs;2 /rs;4 /rs

2 /rs;

2 /rs;2 /rs;

2 /rs;

2 /rs;2 /rs;

2 /rs;

2 /rs;

No of hoursallotted to

complete thistopic


6/9

MODULE NO. Topic

1

2

3 ,eal .um"er

4 Elementary Com"inatori)s+

5 Polynomials

6 Polynomials



#

1& 'uadrilateral

11

12 Cir)les



15 *tatisti)s16 Cir)les17 Pro"a"ility18 *et+ ,elation and un)tion

1# *et+ ,elation and un)tion2& *et+ ,elation and un)tion21 *et+ ,elation and un)tion22 LET!

23 *imilar Trian%les

24 Tri%onometry



Lines and $n%les andTrian%les

$reas o( Parallelo%ram andTrian%les


7/9

25 Tri%onometry

26 *tatisti)s

27 $rt/emati) Pro%ression

28 $rt/emati) Pro%ression2# Inequations

3& Pro"a"ility

31 $rea ,elated to Cir)les

32 *ur(a)e $rea !olumes


8/9

Concepts of Topics class

*urds-*quqre root o( a surd+ Cu"e root o( a surd 1& 2 /rs;

Lo%art/am-0ro0erties 1& 2 /rs;

.um"er t/eory Con%ruen)e odulo t/eory 1& 4 /rs

1& 4 /rs;

1& 2 /rs;

1& 2 /rs;

1& 2 /rs;

Positi9e and .e%ati9e real roots (or a quadrati) e:0ressions 1& 2 /rs;

1& 2 /rs;

Tre0i um +Parallelo%ram a00li)ations 1& 2 /rs;

Plane (i%ure area and its a00li)tions and )ar0et t/reom 1& 4 /rs;

Tan%ets to )ir)le 1& 2 /rs;

1& 2 /rs;

1& 4 /rs;

ean+ edian+ ode (or Grou0ed data 1& 2 /rs; $reas related to )ir)les 1& 2 /rs;

$ddition T/eorem it/ el0 o( *ets 1& 2 /rs;*ets- asi)s+ o0erations+ !enn ia%rams 1& 2 /rs;

1& 2 /rs;Gra0/ o( "asi) (un)tions 1& 2 /rs;

Pro"lem "ased num"er o( *olutions 1& 2 /rs;*ol9in% t/e linear equations "y atri)es 1& 2 /rs;

1& 2 /rs;

Pro"lems "ased on Identities 1& 2 /rs;

No of hoursallotted to

complete thistopic

undamental t/reom addition and multi0li)ation+0ermutations and )om"inations

a)tori ation o( 3rd de%ree+4t/ de%ree 0olynimial andre)i0ro)al equations

Pro"lems on )oe((i)ents and ero?s o( t/e 0olynomialTrans(ormation o( t/e 0olynomials

,elation "et een )oe((i)ents and roots o( t/e equations+a:imun or inimum o( t/e quadrati) e:0ressions

0arallel lines a00li)tions and )on%rurent trian%lesa00li)ations

istan)e ormulae Cir)um)entre *e)tion ormulaeCentroid+Trise)tion Points+In)entre+ >rt/o)entre id0oint ormulae and its a00li)ation + $rea ormulaei((erent (orm line equations+ $n%le "et een lines and

istan)e "et een line and 0oint;

e(ination o( ,elations and un)tions+Pro"lems on domainand ran%e

eri9ation o( *e)tion ormulae Centroid+Trise)tionPoints id 0oint ormulaeand $00li)ation


9/9

1& 2 /rs;

1& 2 /rs;

G;P and ;P 1& 2 /rs;

1& 2 /rs;0ro0erties modulus +$; ;+G; ;+ ; ; 1& 2 /rs;

1& 2 /rs;

1& 2 /rs;

1& 2 /rs;

Pro"lems "ased on Com0und+ multi0le and su"-multi0lean%les

easure o( dis0resion+ ran%e+ mean de9iation+ standardde9iation+ quatile de9iation

Pro"lems on in(inite G;P and di((eren)e met/od to sol9e t/esequen)e

$ddition T/eorem+ Conditional Pro"a"ility+ ulti0li)ationT/eorem and Inde0endent e9ents

Car0et t/eorem+ Com"ination o( )ir)les+ Trian%les andquadrilaterals

Com"ination o( 3- imentional (i%ures+ Cu"e+ Cu"iod+ Cone+*0/ere+ rustum+ Torus@@;;

syllabus nsejs

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