RD Sharma Chapter 3 : Binary Operation Very Short Answer Questions (VSAQs) Solutions Write the identity element for the binary operation * on the set R0 of all non-zero real numbers by the rule a*b=ab/2 ∀ a,b ∈R0 Watch Solution On the set Z of all integers a binary operation * is defined by a […]

Class 12 Maths – RD Sharma Chapter 3 : Binary Operation Exercise 3.5 Solutions Construct the composition table for x4 on set S = {0, 1, 2, 3}. Watch Solution Construct the composition table for +5 on set S = {0, 1, 2, 3, 4} Watch Solution Construct the composition table for x6 on set S

Class 12 Maths – RD Sharma Chapter 3 : Binary Operation Exercise 3.3 Solutions Let * be a binary operation on Z defined by a * b = a + b – 4 for all a, b ∈ Z. i. Show that ‘ * ’ is both commutative and associative. ii. Find the identity element

RD Sharma Chapter 3 : Binary Operation Exercise 3.3 Solutions Find the identity element in the set I + of all positive integers defined by a*b = a + b for all a,b∈I +. Watch Solution Find the identity element in the set of all rational numbers except – 1 with respect to * defined by

RD Sharma Chapter 3 : Binary Operation Exercise 3.2 Solutions Let ‘*’ be a binary operation on N defined by a*b = L.C.M(a,b) for all a, b ∈N. Find (i) 2*4, 3*5, 1*6 (ii)Check the commutativity and associativity of ‘*’ on N. Watch Solution Determine the binary operations are associative and which are commutative:* on N

RD Sharma Chapter 3 : Binary Operation Exercise 3.1 Solutions Determine whether the operation define a binary operation or not: ′⋆′on N defined by a∗b=ab ∀ a,b∈N Watch Solution Determine whether the operation define a binary operation or not:‘O’ on Z defined by aOb=ab ∀ a,b∈ Z Watch Solution Determine whether the operation define a

RD Sharma Chapter 2 : Functions Multiple Choice Questions (MCQs) Solutions Let A = {xϵR :–1≤x≤1} =B and C={xϵR :X ≥ 0} and let S={(x, y) ϵA×B :x^2+y^2=1} and S0={(x, y)ϵA×C :x^2+y^2=1} Then A. S defines a function from A to B B. S0 defines a function from A to C C. S0 defines a

RD Sharma Chapter 2 : Functions Very Shorts Answer Questions Solutions Which one of the following graphs represent a function ? Watch Solution Which one of the following graphs represent a one-one function ? Watch Solution If A = {1, 2, 3} and B = {a, b}, write total number of functions from A to

RD Sharma Chapter 2 : Functions Exercise 2.4 Solutions State with reasons whether the following function has inverse : (i) f : [1, 2, 3, 4] → {10} with f = {(1, 10), (2, 10), (3, 10), (4, 10)} Watch Solution State with reasons whether the following function has inverse : (ii) g : {5, 6,

RD Sharma Chapter 2 : Functions Exercise 2.3 Solutions Find fog and gof, if f(x) = e^x ,g(x) = loge x Watch Solution Find fog and gof, if f(x) = x^2 ,g(x) = cos x Watch Solution Find fog and gof, if f(x) = ∣x∣, g(x) = sin x Watch Solution Find fog and gof, if