if f:R->[pi/6,pi/2),f(x)= arcsin (x^2 - a/x^2 + 1) is a onto function,den set of values of "a" is.....


2 years ago

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                                        Ans:$y = sin^{-1}(x^{2}-\frac{a}{x^{2}}+1)$$(x^{2}-\frac{a}{x^{2}}+1)=siny$$x^{4}+(1-siny)x^{2}-a=0$This is simple Quadratic in x2,$\Delta \geq 0$$(1-siny)^{2}\geq 4.(-a)$$sin^{2}y-2siny+1+4a\geq 0$$\Delta <0$$4<4(4a+1)$$a>0$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

3 months ago

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If f(x)=tan 2 (πx/(n 2 -5n+8))+cot(n+m)πx; (n€N,m€Q),is a periodic function with 2 as the fundamental period,then m can’t belong to:

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Thank you Jitender Singh Sir for the quick response.

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sir please answer other problems too.......i have tried them multiple times.......atleast provide the hints

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thank you sir......

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 sumanth 11 months ago

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 Vinti Singhai 11 months ago
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