Question 1: Let f: {1, 3, 4} → {1, 2, 5} and g: {1, 2, 5} → {1, 3} be given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5,
Water provides medium in which many substances are dissolved. Protoplasm of cell is consist of water in which different molecules are dissolved and suspended. A wat
Question 1: The relation f is defined by f(x)=
Application of Dimensional Analysis. (1) To find the unit of a physical quantity in a given system of units : In a dimensional formula, replacing M, L and T by the fundamental units of the required system we can get the un
Power Power of a body is defined as the rate at which the body can do the work. Average power
Question 1: Let f: R → R be defined as f(x) = 10x + 7. Find the function g: R → R such that gof = fog = IR. Answ
Question 1: Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the set A = {1,
Question 1: Show that the function  f: R∗ → R∗ defined by f(x) = (1/x) is one-one and onto, where R
1. If ((x/3)+1, y – (2/3)) = ((5/3), (1/3)), find the values of x & y            (x/3)+1=5/3   
Moduli of elasticity are three, viz. Y, K and h while elastic constants are four, viz, Y, K, h and
RMS or virtual or Effective value of AC It is that steady DC which would produce same amount of heat as is produced by AC when both are allowed to flow in dependently through the same circuit for same time ‘t’. Relation between  R
   Exercise – 2.3 1. Which of the following relations are functions? Give reasons. If it is a function determine its domain
Question 1: Let A = {1, 2, 3… 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, co-do
Question 1: Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation,
Limitations of Dimensional Analysis.  (1) Dimensions are not unique. Two Physical Quantities can have same dimensions. For example torque and
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