Relations, Domain and Range

JEE Main Mathematics · Relations and Functions · 12 questions, latest first

• Let A={1,4,7} and B={2,3,8}. Then the number of elements, in the relation R={((a_1, b_1),(a_2, b_2)) ∈((A × B) ×(A × B)):…20265 April, Shift 2 · Q21
• Let A={2,3,4,5,6}. Let R be a relation on the set A × A given by (x, y) R(z, w) if and only if x divides z and y ≤ w. Then the…20262 April, Shift 2 · Q21
• Let R be a relation defined on the set {1,2,3,4} ×{1,2,3,4} by R={((a, b),(c, d)): 2 a+3 b=3 c+4 d}. Then the number of elements…202624 January, Shift 1 · Q1
• The number of elements in the relation R={(x, y): 4 x^2+y^2<52, x, y ∈ Z} is202622 January, Shift 2 · Q1
• Let A={1,2,3, …., 100} and R be a relation on A such that R={(a, b): a=2 b+1}. Let (a_1.,.a_2),(a_2, a_3),(a_3, a_4), ….,(a_k,…20252 April, Shift 2 · Q2
• Let S=N ∪{0}. Define a relation R from S to R by: R={(x, y): log_e y=x log_e(2/5), x ∈ S, y ∈ R}. Then, the sum of all the…202529 January, Shift 2 · Q2
• Let A={2,3,6,7} and B={4,5,6,8}. Let R be a relation defined on A × B by (a_1, b_1) R(a_2, b_2) if and only if a_1+a_2=b_1+b_2.…20249 April, Shift 1 · Q21
• Let A={1,2,3, …, 20}. Let R_1 and R_2 two relation on A such that R_1={(a, b): b is divisible by a} R_2={(a, b): a is an integral…20241 February, Shift 1 · Q21
• Let A={1,2,3,4} and R be a relation on the set A × A defined by R={((a, b),(c, d)): 2 a+3 b=4 c+5 d}. Then the number of elements…202315 April, Shift 1 · Q21
• Let A={1,3,4,6,9} and B={2,4,5,8,10}. Let R be a relation defined on A × B such that R={((a_1, b_1),(a_2, b_2)): a_1 ≤ b_2.…202311 April, Shift 2 · Q1
• Let A={2,3,4} and B={8,9,12}. Then the number of elements in the relation R={((a_1, b_1),(a_2, b_2)) ∈(A × B, A × B): a_1.…202310 April, Shift 2 · Q1
• Let A={1,2,3,4, …., 10} and B={0,1,2,3,4}. The number of elements in the relation R={(a, b) ∈ A × A: 2(a-b)^2+3(a-b) ∈ B} is ____20236 April, Shift 1 · Q21