JEE Mains · Maths · STD 11 - 1. set theory
The number of elements in the set \(\{x \in R :(|x|-3)|x+4|=6\}\) is equal to
- A \(3\)
- B \(2\)
- C \(4\)
- D \(1\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
\(x \neq-4\) \((|x|-3)(|x+4|)=6\) \(\Rightarrow \quad|x|-3=\frac{6}{|x+4|}\) No. of solutions \(=2\)
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