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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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Answers : (1)

										
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 & Regards
Jitender Singh
IIT Delhi
askIITians Faculty
one year ago

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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.
 
Nikhil Upadhyay 4 months ago
 
ask question properly
 
SHANMUKESHWAR 5 months ago
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f(x)=[tan 2 x]
 
 
Please post the complete question.
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Vijay Mukati 6 months ago
 
What is your question?
 
Adarsh 6 months ago
help please eager to solve
 
 
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 =...
 
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