OnlineCBT
Mathematics · JEE I SETS
हिन्दीConsider the following four pairs of sets: (A) \( A = \{2, 3\} \) and \( B = \{ x \in \mathbb{R} : x^2 + 5x + 6 = 0 \} \) (B) \( A = \{ x : x \text{ is a letter in the word FOLLOW} \} \) and \( B = \{ y : y \text{ is a letter in the word WOLF} \} \) (C) \( A = \{0\} \) and \( B = \{ x \in \mathbb{R} : x > 15 \text{ and } x < 5 \} \) (D) \( A = \{ x \in \mathbb{Z} : x^2 \le 4 \} \) and \( B = \{-2, -1, 0, 1, 2\} \) Which of the above pairs satisfy \( A = B \)?
View Answer & Solution
Correct answer · Option B
(B) and (D) only
Explanation
In (A), roots of \( x^2+5x+6=0 \) are \( -2, -3 \), so \( A \ne B \). In (B), letters of both words are {F, O, L, W}, so \( A = B \). In (C), \( B = \phi \ne \{0\} \). In (D), integer solutions of \( x^2 \le 4 \) are \( \{-2, -1, 0, 1, 2\} \), so \( A = B \). Hence (B) and (D) only.
