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Assignment, Subject: MATHEMATICS, , Class:10, , Unit 1- Relations And Functions, Part - A, I., , Multiple Choice Questions:, , 1. If n(A x B)= 6and A= 1,3 thenn(B)is, a) 1, , b)2, , c)3, , d)6, , 2. A= 𝑎, 𝑏, 𝑝 , B = 2,3 , C = 𝑝, 𝑞, 𝑟, 𝑠 then, n 𝐴𝑈𝐶 𝑋 𝐵 is, a) 8, , b)20, , c)12, , d)16, , 3. If there are 512 relations from a set A= 2,3,5 to a setB, then the number, of elements in B is, a) 2, , b) 3, , 4. The range of the relationR= (𝑥,, a), , c) 4, 𝑥2, 𝑥, , d) 5, , 𝑖𝑠𝑎 𝑝𝑟𝑖𝑚𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 13, , 𝑖𝑠, , b) 2,3,5,7,11, , 2,3,5,7, , c) 4,9,25,49,121, , d) 1,4,9,25,49,121, , 5. if the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is,, a) (2, -2), , b) (5,1), , c) (2,3), , d) (3,-2), , 6. Let n(A) = M and n(B) = n then the total number of non-empty relations, that can be defined from A to B is, a) 𝑚𝑛, 7. 𝑖𝑓, , b) 𝑛𝑚, , c) 2𝑚𝑛 -1, , d) 2𝑚𝑛, , 𝑎, 𝑏 , ( 7, 𝑏) represents an identity function, then the value of a and b, , are respectively, a) (5, 7), 8. f(x) = 2𝑥 andg(x) =, a), , 3, 2𝑥 2, , b) (5, 5), 1, 3𝑥, , c) (7, 5), , d) (7, 7), , then fog is, 2, , b)3𝑥 2, , 2, , c)9𝑥 2, , d), , 1, 6𝑥 2, , 9. If f: A→ Bis a bijective function and if n(B) = 7 thenn(A) is equal to, a) 7, , b) 49, , c) 1, , 10. f (x) = (𝑥 + 1)3 - (𝑥 − 1)3 represents a function which is, a) Linear, , b) Cubic, , c) reciprocal, , d) Quadratic, , d) 14

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Part - B, II. Short Answer:, 11. If A= 1, 3, 5 , and B = 2, 3, then findA x B and B x A., 12. If B x A =, , −2, 3 , −2, 4 , 0, 3 , 0, 4 , 3, 3 , (3, 4) , find A and B, , 13. Given the functionf : x → 𝑥 2 -5x + 6 evaluate f(2), 14. Define onto function., 15. Find k if f.f(k) = 5 where f (k) = 2k – 1, , Part - C, III.Solve the following:, 16. Let A = 0, 1 , B = 2, 3, 4 and C = 3, 5 verity that A x (BUC) = (AXB) U, (AXC), 17. Let A = 1, 2, 3, 4 and B = 2, 5, 8, 11, 14 be two sets, Let f : A → B be a, function given by f (x) = 3x – 1 Represent this function, (i), (ii), (iii), (iv), , By arrow diagram, in a table form, as a set of ordered pairs, in a graphical form