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OBJECTIVE RD SHARMA-REAL FUNCTIONS -Chapter Test
- The period of the function f(x)=sin^(4)3x+cos^(4)3x, is
01:48
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- The value of integer n for which the function f(x)=(sinx)/(sin(x / n)...
03:59
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- The period of the function f(x)=sin((2x+3)/(6pi)), is
00:49
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- The domain of the function f(x)=sqrt(log((1)/(|sinx|)))
02:39
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- Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))
03:11
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- Let f(x)=(sqrt(sinx))/(1+3sqrt(sinx)) then domain f contains
02:53
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- If f : R -> R is defined by f(x) = [2x] - 2[x] for x in R, where [x] i...
04:06
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- If N denotes the set of all positive integers and if f : N -> N is def...
02:32
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- The set of value of a for which the function f(x)=sinx+[(x^(2))/(a)] d...
02:06
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- If f(x)={{:(-1, x lt 0),(0, x=0 and g(x)=x(1-x^(2))", then"),(1, x gt ...
03:17
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- Find the equivalent definition of f(x)=m a xdot{x^2,(-x)^2,2x(1-x)}w h...
07:44
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- If f(x) is defined on [0,1], then the domain of f(3x^(2)) , is
01:17
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- The function f(x) is defined in [0,1] . Find the domain of f(t a nx)do...
01:28
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- The domain of definition of the real function f(x)=sqrt(log(12)x^(2)) ...
01:35
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- The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...
02:21
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- The function f(x)=sin""(pix)/(2)+2 cos ""(pix)/(3)-tan""(pix)/(4) is p...
01:41
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- The period of the function sin""((pix)/(2))+cos((pix)/(2)), is
00:53
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- The equivalent definition of f(x)=max.{-1|1-x^(2),2|x|-2,1-(7)/(2)|x|}...
Text Solution
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- If x in R, then f(x)=sin^(-1)((2x)/(1+x^(2))) is equal to
04:49
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- If x in R , then f(x)=cos^(-1)((1-x^(2))/(1+x^(2))) is equal to
03:18
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