Most Possible Areas or Units of Selection of Questions in II p
-
Upload
basavaraj-basavaraju -
Category
Documents
-
view
226 -
download
0
Transcript of Most Possible Areas or Units of Selection of Questions in II p
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
1/68
MOSTPOSSIBLE
AREAS ORUNITS OF
SELECTION OFQUESTIONS IN
II P.U.ANNUALEXAMINATION
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
2/68
- OF
KARNATAKA,
INDIAALGEBRAELEME
NTS OF NUMBER
THEORY:
a)
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
3/68
Properties of
Divisibility and
congruences
b)Use of property of
congruence to findtheunitdigit and
remainder
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
4/68
. Solving linearcongruence,c)
finding thenumber and
sum ofdivisorsd)Findi
ng GCD of two
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
5/68
numbers andrepresentation
of two as alinear
combination ofl and m and
showing l
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
6/68
andm are notunique.(
ESSAY TYPE)
STRESS
MORE: on
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
7/68
finding GCD ,last
digit,remainder, number and
sum of divisorsof number.
MATRICES ANDDETERMINANTS
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
8/68
:
a). Solving thesimultaneous
linear equationsbyCramers
Rule b).
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
9/68
Solving the
simultaneous
equations by
matrixmethod.c). Finding the
Inverse, adjointof a matrix.d).
Finding
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
10/68
characteristicequation,
roots,e).Finding the inverse
and verificationusing Caley
Hamilton
Theorem..
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
11/68
f).Properties ofDeterminants and
problemsusingproperties
(definite possiblequestion)
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
12/68
STRESSMORE : On
solvingequations
bymatrixmethod,
cramers rule,
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
13/68
finding inverseanddeterminant
s usingproperties.
GROUPS:a).
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
14/68
Proving a set
(given) forms an
Abelian group
.b).
Questionsregarding
Properties of
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
15/68
groups,Theorems&problems
on subgroups,
STRESSMORE: On
proving a given
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
16/68
set formsagroup under
given binaryoperation.
VECTORS:a). Questions
on vector
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
17/68
product, Crossproduct,
Vector tripleproduct, Scalar
triple product.APPLICATONOF
VECTORS
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
18/68
like sine rule,projection rule,
cosinerule ,proofs of
compoundangle formulae,
angle in
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
19/68
asemicircle isright angle,
diagonals ofparallelogram b
isect eachother, medians
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
20/68
of a traingle areconcureent.
STRESS
MORE: Onapplication of
vectors, proble
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
21/68
ms on vectortriple product,
cross product.Vector triple
product
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
22/68
TIPS:CONCENTR
ATE MORE ON
CHAPTERS
:MATRICESAND
DETERMINA
NTS.ANDVECTOR
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
23/68
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
24/68
Any derivation on
circles.concentrate
more on Derivation
of equationof tangent,
condition oforthoganality,
length of atangent,
radical axis is
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
25/68
perpendicular to line
of centers, condition
for the line y=mx+c
to be tangenttocircle and point of
contact.b). Frequently
questions on
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
26/68
circles isasking on
findingthe equationof circle by finding
g, f&c
; and alsoonorthogonal
circles.
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
27/68
STRESS
MORE: Onfinding
constants g, fand cusing
given
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
28/68
conditions andproblems on
orthogonalcircles
CONIC SECTION:a).
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
29/68
Any(13) derivation
on conic section.
(Definite
)Concentrate more
on Derivation ofParabola,ellipse,
Hyperbola,condition for the
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
30/68
line y=mx+c tobe
tangent to parabola,
ellipse, Hyperbola,
Equationof tangentand normal to
parabola,ellipse,Hyperbola at
(x1,
y
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
31/68
1
).b). Finding the
properties ofstandard forms
andother formsof conics i.e.
finding
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
32/68
vertex,focus,directrix,etcc).
Finding theconics by using
the propertiesof conics.(Dete
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
33/68
rmination ofconics)
STRESS
MORE : OnDerivation
(total 13)
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
34/68
andFinding theproperties of
conics from thegivenequations
ofconicCONCEN
TRATE MORE
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
35/68
ON: CONICSECTION
TRIGNOMETRY:INVERSE
TRIGNOMETRIC
FUNCTIONS:Problems using the
concept of tan-
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
36/68
x
tan-1
y, sin-1
x
sin
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
37/68
-1
y etcFinding thevalue of x or solve
for x .STRESS
MORE: Onproblems using
properties
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
38/68
of Inversefuntions.
GENERALSOLUTION OF
TRIG.
EQUATIONS:General solution of
problems of a cosx+ b sinx =c ,and
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
39/68
solving trig
equations using
transformationform
ulae(product intosum or sum into
product),COMPLEX NUMBERS:
a).
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
40/68
Finding the cube
roots and fourth
roots of
complexnumbersand representing
them inarganddiagram.or
finding the
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
41/68
continued product
of roots .
b). Statement
and proving
Demoivrestheorem
and problemsusing
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
42/68
demoivrestheorem.CONC
ENTRATEMORE ON:
COMPLEXNUMBERS.
CALCULUS:DIFFERENTIATION:
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
43/68
a).Finding thederivatives of
trigonometricfunctions,exponenti
al functions,logarithmic
functions,Inversetrigonometri
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
44/68
c functions,
Derivatives of
sinax,
cosax,tanax.secax,cosecax, cotax,
sec2x.cos2x, etc.Sin2
x,cos2
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
45/68
x, log ax, etc by first
principles
method.(Definite)
b). Problemson second
order
Differentiation.c).
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
46/68
sub tangent,
subnormal, length
of the
subtangentandsubnormal,
Question onMaxima and
Minima or
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
47/68
Derivative asarate measure ,
Angle ofIntersection of
two curves.
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
48/68
STRESSMORE : On
finding thederivative
fromfirstprinciples, and
using Implicit,
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
49/68
Parametricdifferentiation.
Second orderderivatives,
Derivative asarate measure,
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
50/68
maxima andminima
INTEGRATION:c). One
question onProblems on
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
51/68
Integrals oftheform
(Particular forms)1
a
bcosx
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
52/68
,
1
a
bsinx,
1
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
53/68
acosx
bsinx
c
1a
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
54/68
cos2
x
bcos2x
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
55/68
c
1
a
2
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
56/68
x2
1
x2
a
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
57/68
2
1x
x2
a
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
58/68
2
1a2
x2
1
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
59/68
x2
a2
a2
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
60/68
x2
,
x
2
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
61/68
a2
,
px
qax2
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
62/68
bx
c,
px
q
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
63/68
ax2
bx
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
64/68
c,
pcosx
qsinxacosx
bsinx
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
65/68
, ex
[f(x)+f'(x)]
Integrationbysubstitution
and by parts,Integration by
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
66/68
partialfractions, b).
Evaluating thedefinite Integral
using
theproperties.c).Finding the area
bounded by the twocurves orcurve and
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
67/68
line, finding the area
of the circle, ellipse
byintegration
methodc).
Solving theDifferential
equation by themethod
-
8/3/2019 Most Possible Areas or Units of Selection of Questions in II p
68/68
of separation of
variables and
equation reducible
tovariable seperableform
STRESS MORE:
units a) and b