Let R be a relation defined as xRy if and only if 2x+3y=20, where x, y N. How many elements of the form (x, y) are there in R?

NDA 2021 Mathematics question

Let be a relation defined as if and only if , where . How many elements of the form are there in ?

Answer: (B)

From , . For to be a natural number, must be even, so is even, and gives . ;

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Question ID VK-033528