# NATA-2018 Exam Pattern & Syllabus

Accepted For : B.Arch

Exam Mode : Offline

Registrations Date

N/A

Exam Date

16 Apr, 2018

88 days to go

## NATA 2018 Exam Pattern

To prepare and qualify in NATA 2018, test-takers must understand the NATA 2018 exam pattern and syllabus in a detailed way. Conducted in offline (Pen and Paper based) mode, the question paper of NATA 2018 will have multiple choice questions in Part-A and drawing questions in Part-B. The time allotted for completing the NATA 2018 will be 90 minutes for Part-A and 90 minutes for Part-B.

 Subjects Questions Marks Per Questions Marks Part- A Mathematics 20 2 40 General Aptitude 40 2 80 Part- B Drawing 2 40 80
• NATA 2018 is a Pen and Paper (offline) based test.

• The medium of question paper of NATA 2018 is English.

• NATA 2018 question paper has two parts, i.e. Part A and Part B.

• There are 62 questions in total, 60 questions in Part- A and 2 questions in Part – B.

• The total time duration of NATA 2018 is 3 hours, 90 minutes for Part-A and Part-B.

• For every correct answer, 2 marks are awarded to the candidates.

• There is no negative marking in NATA 2018.

## NATA 2018 Syllabus

Syllabus for Mathematics

Algebra: Definitions of A. P. and G.P.:Summation of first n-terms of series ∑n, ∑n2,∑n 3; General term; Arithmetic/Geometric series, G.M. and their relation; A.M., Infinite G.P. series and its sum.

Logarithms: Definition; Change of base, General properties.

Matrices: Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square 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, Trigonometric functions, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, addition and subtraction formulae, 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. angle between two lines. Distance of a point from a line. Distance between two parallel lines. Condition that a general equation of second degree in x, y may represent a circle. Equation of lines in different forms, Lines through the point of intersection of two lines. Equation of a circle with a given center and radius. Equation of a circle in terms of endpoints of a diameter. Intersection of a line with a circle. Equation of common chord of two intersecting circles. Equation of tangent, normal and chord. Parametric equation of a circle. Condition of perpendicularity and parallelism of two lines.

3-Dimensional Co-ordinate geometry: distance between two points and section formula, equation of a plane, Direction cosines and direction ratios, distance of a point from a plane, equation of a straight line.

Theory of Calculus: Functions, limit, continuity, Integration as a reverse process of differentiation, composition of two functions and inverse of a function, derivative, chain rule, derivative of implicit functions and functions defined parametrically. indefinite integral of standard functions. Integration by parts. Fundamental theorem of integral calculus and its applications. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Properties of definite integrals. solution of homogeneous differential equations, Formation of ordinary, differential equations, separation of variables method, linear first order differential equations.

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

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

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

Syllabus for General Aptitude

Objects, Interpretation of pictorial compositions, Visualizing three-dimensional objects from two-dimensional drawing. Analytical reasoning, mental ability (visual, numerical and verbal), Visualizing different sides of 3D objects. General awareness of national/ international architects and famous architectural creations, texture related to architecture and built environment.

Mathematical Reasoning: Statements, logical operations like and, or, if and only if, implies, implied by.