Let R be a relation defined on S, the set of squares on a chess board, such that xRy iff x=y or x and y share a common side. Then, which of the following is false for R?

JEE Main Mathematics question

Let be a relation defined on , the set of squares on a chess board, such that iff or and share a common side. Then, which of the following is false for ?

(A)Reflexive
(B)Symmetric
(C)TransitiveCorrect
(D)All the above

Answer: (C)

Solution

Reflexive () and symmetric hold. For three consecutive squares

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Question ID VK-003204