JEE Mains · Maths · STD 12 - 1. relation and function
Let \(\mathrm{f}(\mathrm{x})\) be a polynomial of degree \(3\) such that \(\mathrm{f}(\mathrm{k})=-\frac{2}{\mathrm{k}}\) for \(\mathrm{k}=2,3,4,5 .\) Then the value of \(52-10 \mathrm{f}(10)\) is equal to :
- A \(26\)
- B \(36\)
- C \(52\)
- D \(87\)
Answer & Solution
Correct Answer
(A) \(26\)
Step-by-step Solution
Detailed explanation
\(\mathrm{k}\, \mathrm{f}(\mathrm{k})+2=\lambda(\mathrm{x}-2)(\mathrm{x}-3)(\mathrm{x}-4)(\mathrm{x}-5) \ldots(1)\) put \(\mathrm{x}=0\) we get \(\lambda=\frac{1}{60}\) Now put \(\lambda\) in equation \((1)\)…
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