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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f is a real valued function such that f(x+y)=f(x)+f(y)  and  f(1)=5f\left( {x + y} \right) = f\left( x \right) + f\left( y \right)\;and\;f\left( 1 \right) = 5, then the value of f(100)f\left( {100} \right) is
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Correct option: D
500
Option D (500) is correct because the function is linear, and f(100)=100∗f(1)=500f(100) = 100 * f(1) = 500.

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