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In function f(x)=cos^(-1)x+cos^(-1)(x/2+...

In function `f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2)` , then Range of `f(x)` is `[pi/3,(10pi)/3]]` Range of `f(x)` is `[pi/3,5pi]` `f(x)` is one-one for `x in [-1,1/2]` `f(x)` is one-one for `x in [1/2,1]`

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RESONANCE DPP ENGLISH-RELATIONS AND FUNCTIONS XII-All Questions
  1. Find the number of positive integers x for which f(x) = x^(3) - 8 x^...

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  2. The least integral value of ' m ' for which the expression m x^2-4x+3m...

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  3. Values of x satisfying the inequality |x^2+8x+7|geq|x^2+4x+4|+|4x+3| f...

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  4. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

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  5. f(x)=x/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1//a) c...

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  6. Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Th...

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  7. If f(x)=2/(4^x+2) for real numbers x , then f(1/(2011))+f(2/(2011))++f...

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  8. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This ...

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  9. Solve the following inequalities (x-1)/x-(x+1)/(x-1)<2

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  10. Solve inequality (x^2-5x+6)/(x^2+x+1)<0

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  11. solve the given inequation (x^2+4x+4)/(2x^2-x-1)>0

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  12. ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)(x-2)^3dot(x+3)^5 0(x-6)(x...

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  13. Solve the following inequalities ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>...

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  14. The sum of the series ""(1^2)/(2!)+(2^2)/(3!)+(3^2)/(4!)+"i s" e+1 ...

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  15. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

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  16. If A is the set of even natural numbers less than 8 and B in the set p...

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  17. If range of the function f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1) is [p ...

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  18. In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range...

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  19. An extremum value of the function f(x)=(a r csinx)^3+(a r ccosx)^3 is ...

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  20. If x , y , z are all different real numbers, then 1/((x-y)^2)+1/((y-z)...

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