Binary Relations IIT JEE Main Mathematics Online Mock Test Problem 61(April 16 2018 Morning)

TL;DR

Analyzing binary relations with natural numbers to find ranges and determine correct answers.

Transcript

hey everyone this problem is from the je mein math portion the online version it's on their website it's 2018 so number 61 so n is the set of natural numbers and it says define two binary relations on n as follows I'm going to go ahead and write these down over here so we have r1 and this is the set of all ordered pairs X Y and n cross n such that ... Read More

Key Insights

• ❓ Understanding binary relations in mathematics.
• 🧡 Solving equations to find ranges of relations.
• #️⃣ Importance of considering natural numbers in solutions.
• 🧡 Comparison of calculated ranges with answer choices.
• 🧡 Elimination of incorrect choices based on calculated ranges.
• 🈸 Application of mathematical concepts to problem-solving.
• ❓ Importance of precision in mathematical calculations.

Questions & Answers

Q: What are the binary relations r1 and r2 based on in this problem?

The binary relations r1 and r2 involve sets of ordered pairs in N cross N satisfying specific equations involving the values of X and Y.

Q: How are the ranges of r1 and r2 determined in the problem?

The ranges of r1 and r2 are determined by solving the equations provided for Y in terms of X, and then testing different X values to find corresponding natural number values for Y.

Q: Why is it important to consider only natural number solutions in determining the ranges?

Natural numbers are specified in the problem, so the ranges must consist of whole numbers to be valid solutions within the context of the problem.

Q: How do the found ranges help in identifying the correct answer choice?

By comparing the calculated ranges with the given options, one can eliminate incorrect choices and select the one that matches the range of the binary relations.

Summary & Key Takeaways

• Two binary relations, r1 and r2, are defined on the set of natural numbers.

• The task involves finding the ranges for r1 and r2 by solving equations.

• Analyzing the ranges helps determine the correct answer choice.