JEE Mains · Maths · STD 11 - basic of algoritham
The number of integral solutions \(x\) of \(\log _{\left(x+\frac{7}{2}\right)}\left(\frac{x-7}{2 x-3}\right)^2 \geq 0\) is
- A \(6\)
- B \(8\)
- C \(5\)
- D \(7\)
Answer & Solution
Correct Answer
(A) \(6\)
Step-by-step Solution
Detailed explanation
\(\log _{x+\frac{7}{2}}\left(\frac{x-7}{2 x-3}\right)^2 \geq 0\) Feasible region : \(x+\frac{7}{2}>0 \Rightarrow x > -\frac{7}{2}\) And \(x+\frac{7}{2} \neq 1 \Rightarrow x \neq-\frac{5}{2}\) And \(\frac{x-7}{2 x-3} \neq 0 \quad\) and \(2 x-3 \neq 0\) \(\Downarrow\) \(x \neq 7\)…
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