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                   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.....


3 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

one year ago

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 Ajay Kotwal 6 days ago

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 Shubham Singh one month ago
pi/2 ∫ 0 dx/1 + tan x

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 abhishek singh 8 months ago

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 abhishek singh 8 months ago
portion should be less for weak students.

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 Latika Leekha 2 months ago

what portion are you talking about

 ng29 2 months ago
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