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 * b = a + b + 2 for all a, b ∈ Z. Write the inverse of 4. Watch Solution
Write the total number of binary operations on a set consisting of two elements. Watch Solution
Write the identity element for the binary operation * defined on the set R of all real numbers by the rule a*b = 3ab/7 ∀ a, b ∈R Watch Solution
Let * be a binary operation, on the set of all non-zero real numbers, given by a∗b = ab/5 for all a, b ∈R−{0}. Write the value of x given by 2∗(x∗5)=10. Watch Solution
Write the inverse of 5 under multiplication modulo 11 on the set {1, 2, …, 10}. Watch Solution
Write the composition table for the binary operation multiplication modulo 10(×10) on the set S = {2, 4, 6, 8}. Watch Solution
For the binary operation multiplication modulo 10(×10) defined on the set S = {1, 3, 7, 9}, write the inverse of 3. Watch Solution
For the binary operation multiplication modulo 5(x5) defined on the set S = {1, 2, 3, 4}. Write the value of (3×54^-1)^-1. Watch Solution
Write the composition table for the binary operation ×5 (multiplication modulo 5) on the set S = {0, 1, 2, 3, 4}. Watch Solution
A binary operation * is defined on the set R of all real numbers by the rule a∗b=√a^2+b^2 for all a,b∈R. Write the identity element for * on R. Watch Solution
Let +6 (addition modulo 6 ) be a binary operation on S={0,1,2,3,4,5}. Write the value of 2+64^-1+63^-1. Watch Solution
Let * be a binary operation defined by a * b = 3a + 4b – 2. Find 4 * 5. Watch Solution
If the binary operation * on the set Z of integers is defined by a * b = a + 3b^2, find the value of 2 * 4. Watch Solution
Let * be a binary operation on N given by a * b = HCF (a, b), a, b ∈ N. Write the value of 22 * 4. Watch Solution
Let * be a binary operation on set of integers I, defined by a * b = 2a + b -3. Find the value of 3 * 4. Watch Solution
