JEE Main 202116 MarchEvening Shift
- Exam
- JEE Main
- Year
- 2021
- Date
- 16 March
- Shift
- Evening Shift
- Subject
- Mathematics
- Chapter
- Sets and Relations
JEE Main 2021 · 16 March · Evening Shift · Mathematics · Sets and Relations
Let A = \ 2, 3, 4, 5, . , 30\ and ' ≃ ' be an equivalence relation...
Let A = and ' ≃ ' be an equivalence relation on A \times A,\left(a, b\right) ≃ if and only if . Then the number of ordered pairs which satisfy this equivalence relation with ordered pair is equal to :
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
A = \left\{2, 3, 4, 5, \ldots , , 30\right\}
\left(4, 3\right) = \left(c, d\right) ⇒ 4d = 3c⇒ \dfrac{4}{3} = \dfrac{c}{d}\dfrac{c}{d} = \dfrac{4}{3} \text{ and } c, d \in \left\{2, 3, \ldots \ldots , 30\right\}
No. of ordered pair