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


Answers : (1)

y = sin^{-1}(x^{2}-\frac{a}{x^{2}}+1)
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
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty
25 days ago

Post Your Answer

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
=5 +n/1 + n(n-1) / 2! + ….....+ n!/n! next step I want to understand (1+1)^n + 4 = 2^n + 4
Ans: Using binomial theorm, By comparison, we have x = 1
Jitender Singh 14 days ago
Please prove …..and also give explanation sir please
Ans: Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
Jitender Singh 16 days ago
Sir but what is answer
milind 16 days ago
Value of x Image is attached
Ans: Final Solution: Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
Jitender Singh 23 days ago
The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circle x 2 +y 2 = 1 pass through a fixed point- (a) (2,4) (b) (-1/2,-1/4) (c) (1/2, 1/4) (d)...
Hello Student, Equation of chord of contact: hx+ky=1 (h, k) lie on the line, we have 2h+k=4 hx+(4-2h)y=4 =>(1/2, 1/4) Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
Arun Kumar one month ago
Stress is a Vector or Scalar Quantity ??
Stress is a Scalar Quantity. It involves only magnitude and direction doesn`t matter. As Pressure = Stress.
Sushil Vanka 3 months ago
Definitely a scalar. Stress is the magnitude of force per unit area.
Prajwal kr one year ago
stress is a vector quantity because it has magnitude and direction.
Arvindsista 3 months ago
what is the integration of? 1. (x 2 +1)/x 4 +1 2.(sin -1 x) 2
Hi I'll give only one answer for second question make another post. Seeing the arguments in the tan inverse you can figure out how to break the expression. Thanks & Regards, Arun Kumar,...
Arun Kumar one month ago
please give me the clue to break it.
Mostafijur Rahaman one month ago
View all Questions »