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List of Publication ePub Flipbook PDF(I-XII) State/ Uts eBook (epub) Vocational Education CCE Packages. ... Model Question Papers Books Indent Form School Kits Exemplar Problems Laboratory Manuals 50 years of NCERT Results Framework Document. ... NCERT, Sri Aurobindo Marg, New Delhi-110016. dceta.ncert@nic.in +91 8800440559. Important Helpline Numbers. Women Helpline Number : 7827170170.
Example 12 In the set of natural numbers N, define a relation R as follows: ∀n, m ∈N, nRm if on division by 5 each of the integers n and m leaves the remainder less than 5, i.e. one of the numbers 0, 1, 2, 3 and 4. Show that R is equivalence relation. Also, obtain the pairwise disjoint subsets determined by R.
7.1 Overview. d. 7.1.1 Let F (x) = f (x). Then, we write ò f ( x ) dx = F (x) + C. These integrals are dx called indefinite integrals or general integrals, C is called a constant of integration. All these integrals differ by a constant. 7.1.2 If two functions differ by a constant, they have the same derivative.
The graph of an inverse trigonometric function can be obtained from the graph of original function by interchanging x-axis and y-axis, i.e, if (a, b) is a point on the graph of trigonometric function, then (b, a) becomes the corresponding point on the graph of its inverse trigonometric function. It can be shown that the graph of an inverse ...
Exemplar Problems–Physics 6 1.19 What will be the total flux through the faces of the cube (Fig. 1.9) with side of length a if a charge q is placed at (a) A: a corner of the cube. (b) B: mid-point of an edge of the cube. (c) C: centre of a face of the cube. (d) D: mid-point of B and C. S.A 1.20 A paisa coin is made up of Al-Mg alloy and ...
Exemplar Problems–Physics MCQ I 4.1 Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field B = B 0 kˆ. (a) They have equal z-components of momenta. (b) They must have equal charges. (c) They necessarily represent a particle-antiparticle pair. (d) The charge to mass ratio satisfy : 1 ...
3.1.2 Order of a Matrix. matrix having m rows and n columns is called a matrix of order m × n or simply. × n matrix (read as an m by n matrix). In the above example, we have A as a matrix of order 3 × 3 i.e., 3 × 3 matrix. In general, an m × n matrix has the following rectangular array : A = [a.
5.1.12 Logarithmic differentiation is a powerful technique to differentiate functions of the form f (x) = (u (x)) v(x) , where both f and u need to be positive functions for this technique to make sense.
Fig. 14.1. (d) 3 and 1 both correspond to reverse bias of junction. 14.3 In Fig. 14.2, assuming the diodes to be ideal, D is forward biased and D is reverse biased and hence. flows from A to B. 2 current. D is forward biased and D is reverse biased and hence. 2 1. current flows from B to A and vice versa.
THREE DIMENSIONAL GEOMETRY 225 ± 3 1 1, , 11 11 11 − − − or 3 1 1, , 11 11 11 ± . Example 3 If a line makes an angle of 30°, 60°, 90° with the positive direction of x, y, z-axes, respectively, then find its direction cosines.
