Gouri Shankar and Bhabani are the students of class XI, K.V. No. 5 Kanpur. Their maths teacher told them to collect the names of 5 students of class 9 and 4 students of class 8 for a project. They collected the names and write in the form of sets as following-
A= {Hari, Shyam, Madhuri, Retika, Reena}
B= {Abhipsa, Satyabrata,Sai, Prateek}. Some discussion of Relation & Function was going on in their classes. They decided to explore these sets for various types of relation & function .Also their maths teacher wrote some function and said to find value. Using the information given above answer the following:
(i) How many function exist from set A to set B.
(a) 20 (b) 230 (c) 1024 (d) 625
(ii)Gouri Shankar wants to know the number of relations exist from Set A
to Set B. How many such relations are possible-
(a) 20 (b) 220 (c) 54 (iii)If f(x) = 3x4 – 5x2 + 9, find f(x-1)
(a) 3x4 –12x3 +13x2 –2x+7 (b) 3x4 –14x3 +18x2 +7
(c
Answers
Answer:Gouri Shankar and Bhabani are the students of class XI, K.V. No. 5 Kanpur. Their maths teacher told them to collect the names of 5 students of class 9 and 4 students of class 8 for a project. They collected the names and write in the form of sets as following-
A= {Hari, Shyam, Madhuri, Retika, Reena}
B= {Abhipsa, Satyabrata,Sai, Prateek}. Some discussion of Relation & Function was going on in their classes. They decided to explore these sets for various types of relation & function .Also their maths teacher wrote some function and said to find value. Using the information given above answer the following:
(i) How many function exist from set A to set B.
(a) 20 (b) 230 (c) 1024 (d) 625
(ii)Gouri Shankar wants to know the number of relations exist from Set A
to Set B. How many such relations are possible-
(a) 20 (b) 220 (c) 54 (iii)If f(x) = 3x4 – 5x2 + 9, find f(x-1)
(a) 3x4 –12x3 +13x2 –2x+7 (b) 3x4 –14x3 +18x2 +7
(c
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