Class 11th Maths – RD Sharma Chapter 2 : Relation Exercise 2.1 Solutions
- If (a/3 + 1, b – 2/3 ) = (5/3, 1/3) find the value of a and b. Watch Solution
- If (x+1, 1) = (3, y-2), find the value of x and y. Watch Solution
- If the ordered pairs (x, -1)and (5, y) belong to set {(a, b) : b = 2a – 3}, find the value of x and y. Watch Solution
- If a ∈ {-1, 2, 3, 4, 5} and b ∈ {0, 3, 6} write the set of all ordered pairs (a, b) that a + b = 5. Watch Solution
- If a ∈ {2, 4, 6, 9} and b ∈ {4, 6, 18, 27], then form the set of all ordered pairs (a, b) such that a divides b and a less than b. Watch Solution
- If A = {1, 2} and B = {1, 3}, find A×B and B×A. Watch Solution
- let A = {1, 2, 3} and B = {3, 4}. Find A×B and shows it graphically. Watch Solution
- If A = {1, 2, 3] and B = {2, 4}, what are A×B, B×A, A×A×A, B×B and (A×B)∩(B×A)? Watch Solution
- If A and B are two sets having 3 element in common. If n(A)=5, n(B)=4, find n(A × B) and n{(A×B) ∩ (B×A)}. Watch Solution
- Let A and B be to sets. Show that the sets A×B and B×A have an element in common iff the sets A and B have an element in common. Watch Solution
- Let A and B be two sets such that n(A) = 3, and n(B) = 2. If(x, 1), (y, 2), (z, 1) are in A×B, find A and B, where x, y, z are distinct elements. Watch Solution
- Let A = {1, 2, 3, 4} and R = {(a, b) : a∈ A, b∈ A, a divides b}. Write R explicitly. Watch Solution
- If A = {-1, 1}, find A×A×A. Watch Solution
- State whether the following statement is true or false. If the statement is false re-write the given statement correctly : If P = {m, n} and Q = {n, m}, then P×Q = {(m, n), (n, m)} Watch Solution
- State whether the following statement is true or false. If the statement is false re-write the given statement correctly : If A and B are nonempty sets, then AxB is a non-empty set of ordered pairs (x, y) such that x∈B and y∈A Watch Solution
- State whether the following statement is true or false. If the statement is false re-write the given statement correctly : If A = {1, 2}, B = {3, 4}, then Ax(B∩Φ) = Φ Watch Solution
- If A = {1, 2}, form the set A×A×A. Watch Solution
- If A = {1, 2, 4} and B = {1, 2, 3} represent following sets graphically : A×B Watch Solution
- If A = {1, 2, 4} and B = {1, 2, 3} represent following sets graphically : B×A Watch Solution
- If A = {1, 2, 4} and B = {1, 2, 3} represent following sets graphically : A×A Watch Solution
- If A = {1, 2, 4} and B = {1, 2, 3} represent following sets graphically : B×B Watch Solution