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If f(x)=1-f(1-x), then the value of f(...

If `f(x)=1-f(1-x)`, then the value of
`f((1)/(999))+f((2)/(999))+...+f((998)/(999))` is :

A

998

B

1

C

499

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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QUANTUM CAT-FUNCTIONS AND GRAPHS-QUESTION BANK
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  2. If f(x) = 4^x/(4^x + 2), then find f(x) + f(1 - x).

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  3. If f(x)=1-f(1-x), then the value of f((1)/(999))+f((2)/(999))+...+f(...

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  4. Let f(x)=x^2 and g(x)=sqrtx, then:

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  5. A pipe can fill a tank in 6 hours and another pipe can empty the tank ...

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  6. Let f(x)=x/(x+3), then f(x+1)=?

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  7. Let f(x)= x/(x+3), then 1/f(x+1)-f(1/(x+1))= ?

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  8. If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :

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  9. A sum of money is divided among A, B, C and D in the ratio 3 : 5 : 8 :...

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  10. Which of the following option is correct for given graph

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  11. Which of the following option is correct for below curve

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  12. If Suresh borrows Rs. 36000 from Mahesh at rate of interest 6% S.I, at...

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  13. which of the following is correct for the following graph?

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  14. The equationx^2=1-abs(x-2) has n real solutions, then

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  15. The number of real solutions of the equation log0.5absx=2absx is :

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  16. If Suresh borrows Rs. 36000 from Mahesh at rate of interest 6% S.I, at...

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  17. The two roots of the equation f(x)=f((x+8)/(x-1)) are:

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  18. If 10 men or 5 women can earn Rs. 52,400 per day, how much would 7 men...

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  19. If xya= (3x+y)^2 - (3x−y)^2 , then the value of a is

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  20. If f(x)=((x-1)/(x+1)), then f(f(ax)) in terms of f(x) is equal to:

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