JEE Mains · Maths · STD 11- 2. Relation and Function
If the domain of the function \( f(x)=\log_{(10x^{2}-17x+7)}(18x^{2}-11x+1) \) is \( (-\infty,a)\cup(b,c)\cup(d,\infty)-\{e\} \), then \( 90(a+b+c+d+e) \) equals:
- A 170
- B 177
- C 307
- D 316
Answer & Solution
Correct Answer
(D) 316
Step-by-step Solution
Detailed explanation
\(18 x^2-11 x+1>0\) \((2 x-1)(9 x-1)>0\) \(x<\frac{1}{9} \text { or } \frac{1}{2}0\) \((x-1)(10 x-7)>0\) \(x <\frac{7}{10}\) or \(1< x\) \(\&\ 10 x^2-17 x+7 \neq 1\)…
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