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USE CODE: EXAM25

				   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.....


4 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

sinx

I think the question is under different calculus so you must be asking differentition of sinx .so ans is cos x.

 Raghu Vamshi Hemadri 4 months ago

I think the question is under different calculus so you must be asking differentition of sinx .so ans is cos x.

 SHANMUKESHWAR 5 months ago
I m having problem in these two questions: 1) f(x)=x^3+6x^2+(9+2k)x+1 is increasing if k is 2)f(x)=cosx-2PX is monotonically decreasing for p:

HInt: 1. If we diffirenciate a cubic equation, we get the quadratic equation. Not for cubic polynomial to be increasing function, its derivative should be positive, i.e. quadratic polynomial...

 Vijay Mukati 6 months ago
f(x)=[tan 2 x]

 Vijay Mukati 6 months ago

It is really very easy question Milind. See, we know all the points A,B,C,D. So we can easily find the equation of AB and CD using the symmetric form of line. AB is (x-6)/10 = (y+7)/-12 =...

 Yash Jain one year ago
Do you know any trick to solve trigonometric question that come in iitjee

yes there are many tricks to solve trigonometry questions......for example in cases like Tan(a+b+c)= or any sort of Ange's you can take the values of these angle on your own and match with...

 Arun 2 months ago

please tell some more tricks and direct formulas that are very useful for...

 harshil chauhan 2 months ago
i dont get topic of area under curvin askiitians what i do pleas suggest meeee

Refer to the book “PLAY WITH GRAPHS” arihant publication it has wide variety of graphing techniques and transformations and all possible graphs ranging from easiest to difficult.. once you...

 Himanshu 3 months ago
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