CBSE 2010 Class Xllth Mathematics Sample Papers
Mathematics is considered to be the most scoring subject in the class 12th board examinations. I have seen people who finish their mathematics course in the summer breaks only and rest of the year they practice from other books like R.D.Sharma and together with mathematics. You just cannot cram mathematics, there is no easy way to success in mathematics, so practice as much as you can and work hard for the ultimate goal. All those who want a career in science field, never imagine yourself getting rid of mathematics and physics, you may get rid of chemistry, not completely though. So prepare well and prepare for future as well.
Download CBSE 2010 Class Xll Mathematics Sample Papers
• Mathematics Sample Paper 1
• Mathematics Sample Paper 2
• Mathematics Sample Paper 3
• Mathematics Sample Paper 4
• Mathematics Sample Paper 5
CBSE Syllabus Class 12 for 2010 : Mathematics
Mathematics : CBSE syllabus class 12 for March 2010 examinations.
COURSE STRUCTURE
Class XII
Mathematics
One Paper 3 Hours 100 Marks
UNIT I. RELATIONS AND FUNCTIONS
1. Relations and Functions : (10) Periods
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.
2. Inverse Trigonometric Functions: (12) Periods
Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
UNIT-II: ALGEBRA
1. Matrices: (18) Periods
Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
2. Determinants: (20) Periods
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
UNIT-III: CALCULUS
1. Continuity and Differentiability: (18) Periods
Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations.
2. Applications of Derivatives: (10) Periods
Applications of derivatives: rate of change, increasing/decreasing functions, tangents & normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
3. Integrals: (20) Periods
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals
Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
4. Applications of the Integrals: (10) Periods
Applications in finding the area under simple curves, especially lines, areas of circles/ parabolas/ellipses (in standard form only), area between the two above said curves (the region should be clearly identifiable).
5. Differential Equations: (10) Periods
Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree.
UNIT-IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY
1. Vectors: (12) Periods
Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.
2. Three - dimensional Geometry: (12) Periods
Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane.
UNIT-V: LINEAR PROGRAMMING
1. Linear Programming: (12) Periods
Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
UNIT-VI: PROBABILITY
1. Probability: (18) Periods
Multiplication theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem, Random variable and its probability distribution, mean and variance of haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution.
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239 Responses to “CBSE 2010 Class Xllth Mathematics Sample Papers”
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Is ncert is sufficient for all the sbjcts to score 90% in board exams
send me sample paper of maths, physics, chemistry.
send me sample papers of physics,math, chemistry.
send me mathematics, physics&chemistry
Interage the function
Log(1+x)/(1+x square) with respect to x. . . . .plz solved it
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Thanking you!
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sir, pl. be kind enough to send me the blue print for all the subjects cbse 2012.
thanks
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A plane electromagnetic wave is incident on a matrial surface.The wave delivers momentum p and energy E.
Previous 3 years question paper
Integration from limit 0 to 90 of x sq. Cos 2x dx
why carbon and ledare not used to make semi conductors.. ?
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IS NCERT IS ENOUGH TO SCORE 90 PLUS MARKS IN MATHS
If y=(x-a)(x-b),then find the value of x for which dy/dx=0
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is ncert is sufficient for scoring 95 plus marks?????????
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I want to know that is ncert is sufficient to get 90+..?
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i want SOLVED sample paers or previous year board papers immediately..could you plz send me ..mainly maths
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i study in class xii. i am not good in English & Hindi .how can i score above 90 in these subjects .can i use black &blue sketch pens in board exam .please response as early as possible .
Maxima & minima question come in math exam of 6 mark arround 4or 5 year but last year it’s waitage only 4 mark. What is reason of this change.
i have problem in increasing/decreasing and iwant to score 100 marks
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QUESTION IS COMING IN 12TH EXAM OF MATH’S FROM ONLY NCERT??
THAT IS TRUE OR NOT
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helow sir i want 2 score 90% in maths plz tel me if i do ncert nd 100%success sample paper would i get?
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Find eq. Of plane determine by pts. A(3,-1,2), B(5,2,4), C(-1,-1,6). Also find dist. Of pts. P(6,5,9) frm plane?
plz send me 2011 maths solved sample paper and also available marking scheme
can u plz send last year 2010 board question paper onif i solve only ncert of mathmetics with R.D. SHARMA can i score max marks in 2011 board exam
Hw can we tackle with problems of integration and application of derivatives?
i want to know chapterwise mark in math
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Ques:- I am a commerce student . i only want 80 marks can you help me in vectors and 3 dimensional geometry…… Please Please they are of around 17 marks ……….
Hi, I need cbse 12th std 2010 funtional english (outside delhi) board question paper. Could somebody tell me the link, please, please?
Question will be asked from ncert book or other book in board exam class12
integral of 1/1+(x)2
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I DON’T CONCEPT OF CALCULUS & DIFFERENTIATION
how yo score 90,IN ,MATHS
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how i , get 90 % marks in maths and what i do for this ?
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nice sit
Hey, i’m bipul.
My question is:-
how to obtain 100/100 in maths 12th board exam?
which sample paper of physics chemistry, maths is best for preparation of 12 board exams?
i’m confused with the three blue prints you have provided of physics.. which should i follow????
what is the integral of mod of x?
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i want to know that which sample papers are the best for the preparation?
to score good marks in maths..should i study only ncerty and some of the sample papers of last 10 years..?????
I want to score above 85% marks in 12th board IN SCIENCE SUBJECTS. please suggest some good ways to do so.
how can i score gud marks in all science subjects above 80% how should i study so that there is balnce in all marks , pleasssssssss reply as soon as possible
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WHAT DO YOU MEAN BY MATHEMATICS ?
I want to score above 80% marks in 12th board mathematics exam. I want to know that how should i study for that?
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please send me the chapter ( easy to learn integral and differentiation)
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i am totally confused that what should i do r d or ncert.according to me i want to practice ncert only with every concept clear.how to manage my time in board exams.is rd is necessary for boards or ncert is sufficient to score good marks.i am a student of commerce.in future i want to become C A.SO DEFINITELY I HAVE TO SCORE GOOD MARKS.PLEASE RESPONCE ME AS QUICK AS POSSIBLE.
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PLEASE PUT OVER CBSE 12TH QUESTION PAPERS
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class xii previous years papers physics chem maths bio tech
Give me blue print.
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How many marks is on ncert
Solve definit integral lower limit 0 upper limit 1 ∫log(1+x)/1 + x^2 dx
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How Much % of Paperis Set from Out side the NCERT book?
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what is the integration of root tan x
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QUESTION IS COMING IN 12TH EXAM OF MATH’S FROM ONLY NCERT??
THAT IS TRUE OR NOT
solutions of rd sharma
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we can get 75+ no. in board exame
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لو سمحتووووو أريد نموذج الإجابة رياضيات التطبيقية لصف 12 لعام 2010
plz provide me solved cbse board question paper of year 2010 of all the three sets as soon as possible.
where can i get sample papers of business studies and economics chapter wise for class 12?????
SIR CAN U PROVIDE SAMPLE PAPER TO BE READ ONLINE WITHOUT DOWNLOADING IT. WELL IS 80 % QUESTION CAME FROM N.C.E.R.T
HOW TO PREPARE FOR PHYSICS&CHYMISTRY.REPLY ME SOON
sir i am bio. as well as maths student $ i want to know that which topic will easy $marks scoring
In any triangle ABC,if A=1\tan2and B=1\tan3, prove thatC=3.14\4
By using properties of determinants show that
0 a -b
-a 0 -c = 0
b c 0
(x+1)/(x+2)(x+3)=A/(x+2)=B/(x+3) find the value of B?
Maths 2010 question no. 24& 29 were incomplete. How the board decided about this while publishing result recently.
How many got 100 mrks in maths this cbse 2010 exam??
what percentage of question paper will coming from ncert textbook
PLEASE PROVIDE ME WITH SOLVED ATLEAST 5 SAMPLE PAPERS.
I WIL BE BE THANKFUL TO U .
Acc. to CBSE in class 12th maths paper ,students attempting set 1 and 2 will get 12 bonus marks ,is this has been applied or not? Piease provide me this information.
can u provide me seperate unit wise papers for maths.
find the value of a+4b,if Iis unit matrix
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will please tell me how i have to star my paper so that i could able to complete my paper before the time.
Please send me the solutions of these sample papers…..
Please tell me marks distribution of maths 12 class.
can u please provide me chapterwise markdistribution on PCMB FOR CLASS 12?
What forced the education department to change the paper trend of class 12th,why are both papers supposed to come jointly i.e A+B. Are there any relaxations to be given.Will paper still carry 150 marks .
Also model papers must be issued as soon as possible.
Reply soon.
Is it true that 80%QUESTION R cOMING FROM nCERT TEXTBOOK of maTh, plz reply soon
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can u please provide me chapterwise markdistribution on PCM FOR CLASS 12?
was 6 marks ques from probability correct?
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The paper was worst!! and difficult + lengthy !!
A wire of length 28m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?
A wire of length 28m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum
how to solve the maths paper in the board exam so that it will complete with in 3 hours.
i want solution for cbse XII mathematics sample paper 5