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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
Let f(x)f(x) is a monic polynomial of degree =5=5 such that f(1)=1,f(2)=2,f(3)=3f(1)=1, f(2)=2, f(3)=3, f(4)=4f(4)=4 and f(5)=5f(5)=5. If f(6)=5!+λf(6)=5 !+\lambda, then find the value of λ\lambda.
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Correct option: A
6
Option A (6) is correct because the value of λ\lambda is found by constructing a polynomial that satisfies the given conditions and then evaluating it at x=6.

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