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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 3 August 2021, Shift 2, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

Let R\mathbb{R} be the set of real numbers and '*' be a binary operation on R−{0}\mathbb{R} - \{0\} defined by a∗b=a+2b+aba * b = a + 2b + \frac{a}{b}. Then the operation '*' is
  1. (1)associative and commutative
  2. (2)commutative but not associative
  3. (3)associative but not commutative
  4. (4)neither associative nor commutative.Official answer

Official answer

Option 4

NTA final key.

Chapter
Relations and Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.