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Question 36 (i) - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 13, 2024 by

Port Blair, the capital city of Andaman and Nicobar Islands is directly connected to Chennai and Vishakapatnam via ship route. The ships sail from Chennai/Vishakapatnam to Port Blair and vice versa.

Swaraj Dweep and Shaheed Dweep are two popular tourist islands in Andaman Islands. One has to take a ferry from Port Blair to reach these islands. There are ferries that sail frequently between the three islands - Port Blair (PB), Swaraj Dweep (SwD) and Shaheed Dweep (ShD).

Shown below is a schematic representation of the ship routes and ferry routes.

X is the set of all 5 places and Y is the set of 3 places in Andaman Islands. That is, X = {C, V, PB, SwD, ShD} and Y = {PB, SwD, ShD}. A relation R defined on the set X is given by, R = {(𝑥1, 𝑥2 ): there is a direct ship or direct ferry from 𝑥1 to 𝑥2}. A function 𝑓: Y → X is defined by, 𝑓(𝑃𝐵) = 𝑉, 𝑓(𝑆𝑤𝐷) = 𝑃𝐵, 𝑓(𝑆ℎ𝐷) = 𝑆𝑤𝐷.

 

(i) List all the elements of R.

 

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Port Blair, the capital city of Andaman and Nicobar Islands is directly connected to Chennai and Vishakapatnam via ship route. The ships sail from Chennai/Vishakapatnam to Port Blair and vice versa. Swaraj Dweep and Shaheed Dweep are two popular tourist islands in Andaman Islands. One has to take a ferry from Port Blair to reach these islands. There are ferries that sail frequently between the three islands - Port Blair (PB), Swaraj Dweep (SwD) and Shaheed Dweep (ShD). Shown below is a schematic representation of the ship routes and ferry routes. X is the set of all 5 places and Y is the set of 3 places in Andaman Islands. That is, X = {C, V, PB, SwD, ShD} and Y = {PB, SwD, ShD}. A relation R defined on the set X is given by, R = {(𝑥1, 𝑥2 ): there is a direct ship or direct ferry from 𝑥1 to 𝑥2}. A function 𝑓: Y → X is defined by, 𝑓(𝑃𝐵) = 𝑉, 𝑓(𝑆𝑤𝐷) = 𝑃𝐵, 𝑓(𝑆ℎ𝐷) = 𝑆𝑤𝐷. (i) List all the elements of R.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo