Know Everything About NDA Exam Pattern 2021

Mathematics: 2 ½ hours

Mathematics: 120

Mathematics: 2 pm to 4.30 pm

SSB Interview: 900

• Rectangular Cartesian Coordinate system. 
• Distance formula. 
• Equation of a line in various forms. 
• The angle between the two lines. 
• The distance of a point from a line.
• Equation of a circle in standard and a general form. 
• Standard forms of parabola, ellipse, and hyperbola. 
• Eccentricity and axis of a conic. 
• A point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. 
• Equation two points. Direction Cosines and direction ratios.
• Equation of a plane and a line in various forms. 
• The angle between two lines and the angle between two planes. Equation of a sphere.

• Concept of set, operations on sets.
• Venn diagrams.
• De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line. 
• Complex numbers—basic properties, modulus, argument, cube roots of unity. Binary system of numbers.
• Conversion of a number in the decimal system to binary system and vice-versa.
• Arithmetic, 19 Geometric and Harmonic progressions. 
• Quadratic equations with real coefficients. The solution of linear inequalities of two variables by graphs. 
• Permutation and Combination.
• Binomial theorem and its applications. Logarithms and their applications.

• Angles and their measures in degrees and radians. 
• Trigonometric ratios. 
• Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. 
• Inverse trigonometric functions.
•  Applications-Height and distance, properties of triangles.

• Types of matrices, operations on matrices. 
• The determinant of a matrix, basic properties of determinants. 
• Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and Matrix Method.

• Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer. 
• The motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. 
• Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat. 
• Sound waves and their properties, Simple musical instruments. Rectilinear propagation of Light, Reflection, and refraction. 
• Spherical mirrors and Lenses, Human Eye. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. 
• Static and Current Electricity, conductors and Nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. General Principles in the working of the following: Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.

• Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water. 
• Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation and Reduction. Acids, bases, and salts. 
• Carbon—different forms. 
• Fertilizers—Natural and Artificial. 
• The material is used to prepare substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and GunPowder. 
• Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency

• Difference between the living and nonliving. Basis of Life—Cells, Protoplasms, and Tissues. 
• Growth and Reproduction in Plants and Animals. Elementary knowledge of the Human Body and its vital organs. 
• Common Epidemics, their causes, and prevention. 
• Food—Source of Energy for man. Constituents of food, Balanced Diet. 
• The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists