VSAT Syllabus 2023 Maths B

BOARD OF INTERMEDIATE EDUCATISN
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To be effectiYe from the acadeEeie year 2013-14

Name of Topie and Sub ToPics

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08
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l.a Equation of a circle - stantiard form - centre and radius - equation
of a circle rvith a given line segment as diameter & equation of a
circle

tirfough three non collinearpoints - parametric equations of a circle.

06
1.2 Positiot oi^ a point in the piane of a crcle - povrer of a point-
defimtion of tangent-ier:gIh of tangent.

1.3 Position of a straighi line in the plane of a circle- conditions
06
ibr a line to be tarige nt- chord-ioining two points on a circle-
*qualiorr cfthe tangeni at a pcinl on the circle- point ofcontact-
equatlonof notmal.

06
1A
t.+ ilhord ofcoittaer - pcie and pciar-conjugate poinis and conjugate
iir:is - eqilatton ci' ei::o: i i-ti tern$ of its mid poi irl

1.f i;.cji:*i'e position c,l'i*'; .':ircics- lli"cles ioucl:ilig e "ch otiier
r,.liri:: a1}y, internalli; c+lt itl ;*rl tairgonts -centers oi sinllitude-
:.itjiriion Lrf pairof tange;:ls iion an extemai poiat'

{}2. Sys{*rra *{ C?rcles

06
2 "1 A*g:le betl 'een two interseciing circles'
jia,;ie Li axis of two cilii;-r- pi:opefiies-common chord and 06
2.2
e i,:i1r1lton tangent of lr"'t.'cL'r-'ies - radical centr"e '

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Parabola
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3.1 conic sections -parabola- equation ofparabola in standard forrn- 08
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, different forms of parabola- parametric equations.
I
I 3.2 Equations of tangent and normal at a point on the parabola
07
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(crtesian and parametric) - conditions for a straight
line to
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betangent.
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t 15
S4. Eiiipse
4,7 Equation of ellipse in standard form-parametric equations.
06
4.2 Equation of tangent and normal at apoint on the ellipse
07
(cartesian and parametric)-condition for a straight
line to
betangent.

13
{35. E{ypertula
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i Equationof hyperboiainstandardfona-pa,"ametricequations.
5.
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5.2 Equations of tangent ancl normal at apoint cn rhe hyperbola a1
(carlesian andparanietric)- co,ditioirs for;.:,iraight
iir:e to be
a tangent- Asymptotes.

08

1:

6.1 Integration as the inverse process of difiereniialrrl-
(i+
Standard fonls -properties of integrals.

A'
u.- N{ethod of substitution- integration of Algeb:.:."
L:.\ponential. 14
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lcganthmic. trigonolr*L-ic rncl inverse trigonr;n ir:i r-i,; iiinctions.
Iniesration byparts.

6.3 IntegrationbyPartialfiactionsmetlrod. 05

6.4 Reductionformulae. 05

28

S7" *e##te trm€egreEs
7.I Definitelntegralasthelimitofasum 03

7 .2 krtelpretation ofDefinite Integral as an area. 03

7.3 FundamentalTheoremof IntegralCalculus(withoutproof). 04

7 .4 Properties, 04

i.5 Reductionformulae. 06

7.6 ApplicationofDefiniteintegraltoareas. 04

#9. &'d?'er*etiaEEq*aci*:es
8.1 Formationofdifferentialequation-degreeandorderof 02
an ordinary differential equation.

8.2 Solvingdifferentialequationby
a) Variablesseparablemethod. 03

b; Homogeneous ciifferential equation. 03

c) Non - Homogeneous differential equation. 04

d) Linear ffiereniial equations. 04

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TIIAL 150

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