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If A and G are A.M. and G.M. of two real numbers a and b, then
  • a)
    A ≤ G
  • b)
    A > G
  • c)
    A < G
  • d)
    A ≥ G
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If A and G are A.M. and G.M. of two real numbers a and b, thena)A ≤...
A=a+b/2. ,G=√ab
A-G=(a+b/2)-√ab
=(a+b-2√ab)/2
=(√a-√b)^2/2 is greater than or equal to zero
A-G is greater than or equal to zero so
so A is greater than equal to zero
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Community Answer
If A and G are A.M. and G.M. of two real numbers a and b, thena)A ≤...
If A and G are the arithmetic mean (A.M.) and geometric mean (G.M.) of two real numbers a and b, then the relationship between A, G, a, and b is as follows:

a) A ≥ G

This means that the arithmetic mean (A) is greater than or equal to the geometric mean (G) of the two numbers a and b.
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If A and G are A.M. and G.M. of two real numbers a and b, thena)A ≤ Gb)A > Gc)A < Gd)A ≥ GCorrect answer is option 'D'. Can you explain this answer?
Question Description
If A and G are A.M. and G.M. of two real numbers a and b, thena)A ≤ Gb)A > Gc)A < Gd)A ≥ GCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A and G are A.M. and G.M. of two real numbers a and b, thena)A ≤ Gb)A > Gc)A < Gd)A ≥ GCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A and G are A.M. and G.M. of two real numbers a and b, thena)A ≤ Gb)A > Gc)A < Gd)A ≥ GCorrect answer is option 'D'. Can you explain this answer?.
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