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Question

# If f(x)+f(1âˆ’x)=10, then the value of f(110)+f(210)+..........+f(910) is

A
45
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B
50
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C
90
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D
Cannot be determined
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Solution

## The correct option is B 50Clearly required expression contains 10 terms which can be grouped into 5 pairs each having complementary arguments which add up to 1.Answer =f(110) +f(910)+f(210) +f(810)+..............................=f(110)+f(1−110) +f(210) +f(1−210) +...............................The first condition of the statement hence gives us the value to be 5×10=50

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