Skip to main content

Syllabus for NATA-2018

By
APPENDIX I - Syllabus for NATA-2018

Subject




Questions

Marks

Mode of Exam


















Mathematics &


Mathematics


20


40


MCQ (Online)















General

















General Aptitude
40

80


MCQ (Online)


Aptitude






































Drawing test




02


80


Paper and Pencil




















MATHEMATICS

Algebra: Definitions of A. P. and G.P.; General term; Summation of first n-terms of series ∑n, ∑n²,∑n3 ; Arithmetic/Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum.

Logarithms: Definition; General properties; Change of base.

Matrices: Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).

Trigonometry: Trigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties.

Coordinate geometry: Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, concept of locus, elementary locus problems. Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines. Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter . Equation of tangent, normal and chord. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles.

3-Dimensional Co-ordinate geometry: Direction cosines and direction ratios, distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane.
Theory of Calculus: Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivative of implicit functions and functions defined parametrically. Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its applications. Properties of definite integrals. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves.

Permutation and combination: Permutation of n different things taken r at a time (r ≤ n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different. Basic properties. Problems involving both permutations and combinations.

Statistics and Probability: Measure of dispersion, mean, variance and standard deviation, frequency distribution. Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails and Binomial distribution.


Comments

Post a Comment

Popular posts from this blog

KCET 2026 Option Entry Steps and Critical Mistakes to Avoid

By
 The KCET 2026 option entry window is currently open (June 20 to June 30, 2026). The KEA seat allotment algorithm works strictly from top to bottom based on your rank and categories, meaning it will lock in the very first option on your list where your rank clears the cutoff. Here is a breakdown of the steps to follow and the most critical pitfalls to avoid. KCET 2026 Option Entry Steps Preparation & Research Download the official KEA Seat Matrix to inspect the category-specific breakdowns. Pay very close attention to how seats are allocated across the Rural and Kalyana Karnataka (HK) quotas, as these specific reservations can drastically shift the cutoffs in your favor. Review the last three years of cutoff statements to gauge realistic targets. Accessing the Portal Visit the official KEA website ( cetonline.karnataka.gov.in/kea ). Enter your CET number and security pin, and create a strong, secure password. The 3-Tier Option Entry Strategy There is no maximum limit to the num...
Post a Comment
Read more

Understanding Today’s Indian Stock Market Fall: Causes, Implications, and What Investors Should Do

By
  The Indian stock market witnessed a significant downturn today, leaving investors and market participants concerned about the underlying causes and potential implications. The benchmark indices, Sensex and Nifty, both closed in the red, reflecting widespread selling pressure across sectors. In this blog, we’ll delve into the reasons behind today’s market fall, its broader implications, and what investors should consider in the coming days. What Happened in the Market Today? The Indian stock market opened on a weak note and continued to decline throughout the trading session. The Sensex dropped by over 800 points (approximately 1.5%), while the Nifty fell by around 250 points (1.4%). Mid-cap and small-cap indices also saw sharp declines, underperforming the broader market. Key sectors such as banking, IT, and metals were among the worst hit, with heavyweights like HDFC Bank, Infosys, and Tata Steel leading the losses. Key Reasons Behind the Market Fall Global Market Weakness The I...
Post a Comment
Read more

RBI Rate Cut: What It Means for the Economy and Stock Market

By
 The Reserve Bank of India (RBI) has recently announced a 25 basis points (bps) cut in the repo rate, reducing it to 6.25%. This move comes after nearly five years, signaling a shift in monetary policy to stimulate economic growth. The decision is expected to have a widespread impact on borrowing costs, investment, and market dynamics. But what does this really mean for businesses, investors, and the common man? Let’s break it down. Understanding the Repo Rate The repo rate is the interest rate at which the RBI lends money to commercial banks. When the central bank reduces this rate, borrowing becomes cheaper for banks, allowing them to offer loans at lower interest rates to businesses and individuals. This, in turn, encourages spending, investment, and overall economic growth. Why Did RBI Cut the Rates? Several factors have contributed to the central bank’s decision to lower interest rates: Slowing Economic Growth : India's GDP growth rate has shown signs of deceleration, with est...
Post a Comment
Read more