1. The relation between the roots and coefficients in an equation
2. Solving the equation when two or more roots of it are connected by certain relations
3. Equations with real coefficients, imaginary roots occur in conjugate pairs and its
   consequences.
4. Transformation of equations, Reciprocal equations

1. Definition - Types of Matrices – Equality, Addition, Com-mutative and associative, Properties
   of Addition
2. Scalar Multiplication of a Matrix – Additive inverse and identity. Multiplication of Matrices –
   Non-commutatively – Associative and distributive laws of multiplication
3. Transpose of Matrix-Properties Symmetric and skew Symmetric Matrices.
   Transpose of a Matrix Properties:
   a. (A T ) T = A
   b. (KA) T = KA T
   c. (A+B) T = (A T + B T )
   d. (AB) T = B T A T
   Symmetric and skew symmetric Matrices
4. Determinant of a Matrix, Singular, Non-singular Matrices, Minor, Co-factor of an element in the Matrix – Properties of determinants
5. Adjoin of a Matrix, Inverse of a Matrix Properties
   a. A -1 = Adj A/det A
   b. (AB) -1 = B -1 A -1
   c. (A T ) -1 = (A -1 ) + T
6. Solution of simultaneous linear equation in two and three variables by Crammer's rule, Matrix inversion method and Gauss – Jordan method, Consistency and in-consistency of simultaneous equations.
   NOTE: In the treatment, upto 3x3 determinants and matrices should be considered.

1. Definition of linear and circular permutations
2. To find the number of permutations of n dissimilar things taken ‘r' at a time.
3. To prove nP r =(n-1)P r + r (n-1) p r-1 from the first principles
4. To find number of Permutations of n Dissimilar Things taken ‘r' at a time when repletion of
   Things is allowed any number of times.
5. To find number of circular Permutations of /n/ Different things taken all at a time.
6. To find the number of Permutations of ‘n' things taken at a time when some of them are alike
   and the rest are dissimilar
7. To find the number of combinations of ‘n' dissimilar things taken 'r' at a time
8. To prove
   a. If nc r = nc s then n=r+s or r=s
   b. Nc r + nc r -1 = (n+1) cr

1. Binomial theorem for positive Integral Index, Binomial coefficients and simple results on them, Numerically greatest term.
2. Binomial Theorem for rational Index (statement only) Important particular cases of Binomial Expansion.
3. Approximations using Binomial Theorem

1. Non-repeated linear factors
2. contains repeated and non repeated linear fractions only.
3. g(x) contains non-repeated and non-repeated irreducible factors only.
4. g(x) contains repeated and non-repeated irreducible factors only.
   (Note: Number factors of g(x) should not exceed 4)

1. le x l Expansion for real x
2. log (1+x) expansion, condition on x

1. Random experiment, random event, elementary events, exhaustive events, mutually exclusive events
2. Classical definition – relative frequency approach – sample space, sample events, Addition theorem on Probability
3. Dependent and independent events, multiplication theorem, Baye's theorem

1. Random variables, Distributive functions, probability distributive functions, Mean variance of a random variable
2. Theoretical desecrate distributions like Binomial, poison distribution – Mean and variance of above distributions (without proof)

(Co-Ordinate Geometry And Calculus) Distribution Of Syllabus Into Topics'sub-Topics.

Circles

1. Position of a point in the plane of the circle- power of a point-Def. of a tangent-Length of tangent.
2. Position of a straight line in the plane of the circle-condition for a straight line to be a tangent– chord joining two points on a circle - euqation of the tangent at a point on the circle – point of contact – Equation of normal.
3. Chord of contact-Pole, Polar-conjugate points and conjugate lines- Equation of chord with given mid point.
4. Relative positions of two circles-circles touching each other, -externally, internally, of common tangents-points of similitude-Equation of tangents from an external point.

Systems of circles

1. Angle between two intersecting circles-conditions for orthogonality
2. Radical axis of two circles-properties-Common chord and common tangent of two circles, Radical centre.
3. Coaxial system of circles-Equation of the coaxial system in the simplest form-limiting points of a coaxial system.
4. Orthogonal system of a coaxial system of circles

Parabola

1. Conic sections-parabola-Equation of parabola in standard form-Different forms of parabolaparametric
   equations.
2. Equation of tangent and normal at a point on the parabola (cartesian and parametric)- condition for a straight line to be a tangent.
3. Pole and Polar-Finding the pole of a given line and Vice Versa.

Ellipse

1. Equation of Ellipse in standard form, parametric equations.
2. Equation of tangent and normal at a point on the Ellipse (Cartesian and parametric) condition for a straight line to be a tangent.
3. Pole and Polar-Finding the pole of a given line and Vice Versa

Hyperbola

1. Equation of hyperbola in standard form-parametric equations, Rectangular Hyperbola.
2. Equation of tangent and normal at a point on the hyperbola (Cartesian and parametric) condition for a straight line to be a tangent. Asymptotes.
3. Pole and Polar – Finding the pole of a given line and Vice Versa.

Polar co-ordinates

1. Polar coordinates-Relation between polar and cartesian coordinates-Distance between two points Area of atriangle
2. Polar equation of a straight line, circle and a conic

Calculus

Successive Differentiation – Introduction of nth
derivative of (ax+b) n ,
1/ax+b, log (ax+b), e ax+b , sin (ax+b), cos (ax+b)
7.2 Leibnitz theorem and its application

Integration

1. Integration as the inverse process of differentiation standard forms-properties of integrals.
2. Integration by method of substitution covering algebraic, trigonometric and exponential functions. Integration by parts-logarithmic functions-inverse trigonometric functions-Integrals of the following types of functions:
   
3. Integration of rational functions using partial Fractions.
4. Reduction formulae.

1. Formation-general and particular solutions and primitives-Degree and order of an ordinary differential equation.
2. Solutions of the first order and first degree equations of the following types
   a. Variables separable
   b. Equations of the type
   dy/dx = f(x,y)/g(x,y), where f and g are homogenous functions in x and y
   c. Equations of the type
   dy/dx = ax+by+c/a'x+b'y+c' where a, b, c, a', b', c', are constants)
   d. Equations of the type (linear) dy/dx + py = Q where P, Q are functions of x

1. Mishra & Puri-Indian Economy
2. C.B.Mamoria-Indian Agriculture.

1. R.Dutt & K.P.M.Sundaram – Indian Economy
2. Battwal: Industrial Economy.

1. R.Dutt & K.P.M.Sundaram – Indian Economy
2. World Development Report on Infrastructure

1. Indian National Movement
2. Acts of India 1909,1919 & 1935.
3. Quit India Movement.
4. India's Independence Act 1947.
5. Constituent Assembly of India.

1. Preamble.
2. Written and Lengthy constitution.
3. Compromise between Rigidity and Flexibility.
4. Federal Govt. with unitary features
5. Parliamentary Government.
6. Fundamental Rights.
7. Fundamental Duties.
8. Directive Principles of the State Policy.
9. Independent Judiciary
10. Universal and Adult Franchise
11. Single Citizenship.

1. Significance of Fundamental Rights.
2. Fundamental Rights guaranteed by the IndianConstitution:
   1. Right to Equality
   2. Right to Freedom
   3. Right Against Exploitation
   4. Right to Freedom of Religion
   5. Cultural and Educational Rights
   6. Right to constitutional Remedies.
3. Restrictions on Fundamental Rights.

1. Characteristics
2. Classification
3. Difference between Fundamental Rights and the Directive Principles of the State Policy.
4. Relevance.

1. The President
   
   1. Qualification
   2. Election
   3. Term of Office
   4. Emoluments and Allowances
   5. Impeachment
2. Powers and Functions: Powers and Functions:
   1. Executive Powers
   2. Legislative Powers
   3. Financial Powers
   4. Judicial Powers.
      Emergency Powers:
   5. National Emergency
   6. Constitutional Emergency
   7. Financial Emergency.
   8. The President and the Prime Minister
3. The President and the Prime Minister
4. Role and Position of the President.

1. Eligibility, Election, Term of Office & Removal.
2. Powers and Functions.

1. Composition of the Council of Ministers.
2. Role of the Cabinet
3. Role of the P.M
4. Collective Responsibility

1. a. Composition
   b. Appointment of Judges
   c. Qualifications
   d. Pay Allowances
   e. Tenure
   f. Removal
2. Powers and functions of the Supreme Court.
   a. Original jurisdiction .
   b. Appellate jurisdiction:
   - Criminal Appeals
   - Civil Appeals
   - Constitutional Appeals and
   - Special leave to Appeal.
   c. Power of judicial Review
   d. Power to review its own judgement
   e. Court of Record
   f. Advisory Functions

1. Governor
   1. i) Appointment ii) Tenure iii)Qualifications iv) Pay and Allowances
   2. Powers and Functions
   i) Executive Powers ii)Legislative Powers iii) Financial Powers
   iv) Judicial Powers and v) Discretionary Powers.
   3. Position of the Governor.
   B. Chief Minister and Council of Ministers
   1. State Legislature.
   a) Legislative Assembly
   b) Legislative Council Structure, Powers and Functions.
   C. Judiciary:
   1. High Court:
   i) Composition ii) Appointment of Judges iii) Qualifications iv) Pay and Allowances
   v) Tenure vi) Removal.
   2. Powers and Functions of the High Court:
   i) Original Jurisdiction ii) Appellate jurisdiction (both Civil & Criminal)
   iii) Judicial Review iv) Court of Record v) Control over sub-ordinate count vi)Advisory Functions.

1. Difference between a State and a Union Territory
2. Administration of Union Territories
3. Union Territories having Legislative Assemblies and Metropolitan Councils.

1. Legislative, Administrative and Financial Relations.
2. Division of powers between the union and States
   a) Union List b) State List and c) Concurrent List.
3. Working of the Indian Federation.
   i. Role of the Governor with special reference to Art.356
   ii. Role of the Finance Commission
   iii. Recommendations of the Sarkaria Commission.

1. Party System in India:
   i) All India Parties ii) Regional Parties.
2. Interest Groups
3. Public Opinion.

Election Commission – Functions and the Role – Reforms suggested.

1. Structure of Public Services
2. Composition & Functions of Public Service Commissions.

1. Composition & Objectives
2. Recommendations.

1. Determining factors of Foreign Policy
2. Basic features of Indian Foreign Policy

1. Triumph of will/culture and heritage.
2. Values (human/moral)
3. Emotions/adventure
4. Science & technology

• Development of human values
• Appreciation of nature
• Patriotism/Co-existence / tolerance
• Independent decision making/growth of individuality
• Empowerment of women/social equality

The poems prescribed shall be read and enjoyed for the ideas they present / linguistic/ literary values. They shall be from modern native or non-native writers. The maximum length of each poem shall not exceed 4 to 6 stanzas.

Part-C
In this section students shall be given passages to read, interpret and appreciate. These passages shall be called customized passages to show how authentic texts may be read even though they have not been encountered before. The poems shall be on how to read them rather than on what they contain.

Graphic information and such other texts are also presented for specific reading and comprehension.
The topics may be of current thematic interest such as environmental pollution, AIDS awareness and music.

Three passages shall be customized for training students in reading articles, advertisements, understanding non-verbal items like flow-chart, pie-chart, bar-chart and tables.
After reading the customized passages the students were expected to

• Identify the topic, source and main ideas of the text
• Recognise words from a given text
• Interpret non-verbal items
• Understand and respond to advertisements
• Participate in various other language activities.

The students shall also be presented words and one-word substitutes to extend and re-inforce their vocabulary. Some training shall also be provided in pronunciation by creating awareness about the significance of stress in English. Lists of some common words with monosyllabic, disyllabic and tri-syllabic stress shall be given for practice.

Part-D
All selections shall contain a brief write-up about

• The author
• The title
• Gist/summary
• Critical appreciation
• Glossary
• Check your understanding
• Paragraph questions
• Annotations
• Language activities

• Adventure
• Adolescence
• Rural life

• Reading comprehension
• Reading advertisements
• Interpreting Non-verbal items
• Letter writing
• Describing on process
• Report writing
• Filling in forms
• Preparing curriculum vitae
• Note making
• Role – Play
• One word substitutes
• Syllable division and stress marking

The following are the prescribed lessons in Poetry, Prose and Non-detailed texts and Comprehension, Composition and Communication skills:

Book 1
Poetry

• Little Black Boy – William Blake
• Three years she grew – William Wordsworth
• If - Rudyard Kipling
• The Tiger and the Deer – Sri Aurobindo
• An Introduction – Kamala Das

prose

• The Great Journey to the west – Romain Rolland
• A Tiger comes to school – R.K. Narayan
• The Lost child – Mulk Raj Anand
• On cloning a human being – Lewis Thomas
• Lithuania – Rupert Brooke

1. Environmental pollution
2. AIDS Awareness
3. Music

Book 2
Supplementary Reader:
R.L. Stevenson's novel The Treasure Island, abridged by the Editorial Board of B.I.E. is prescribed as Supplementary Reader.

Book 3
Comprehension, Composition and Communication Skills:

• Reading comprehension
• Reading advertisements
• Interpreting non-verbal items
• Letter writing
• Describing – process
• Report writing
• Filling – in forms
• Preparing curriculum vitae
• Note making
• Role – play
• One word substitutes
• Syllable division and stress marking

Dr. Dorbala Prabhakara Sarma