MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

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

Share

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
10 months ago

Post Your Answer

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
Q .FIND THE DOMAIN OF THE FUNCTION WHOSE PIC IS ATTACHED-
 
 
Dear student, Pls send the pic of the question again. I cann’t see any pic attached. Thanks,...
  img
Nishant Vora 6 months ago
 
Dear student, Regards
  img
Sumit Majumdar 6 months ago
 
i have put up the same question with the pic attached
 
Bharat Makkar 6 months ago
TANGENTS AND NORMALS find the points on the curve y=3x^2 – 9x + 8 at which the tangents are equally inclined with the axes
 
 
Ans: Hello Student, Please find answer to your question below Put in curve: Similarly you will get for x = 5/3.
  img
Jitender Singh 7 months ago
Find doamin of f(x) g(x)=|sinx|+sinx h(x)=sinx+cosx ,0 f(x)=(log h(x) g(x)) 1/2 log is in square root answer is pi/6,pi/2 pls give two solution graph and analytical. thanks
 
 
g(x) and h(x) have condition that x is in between 0 and pi both included
 
vineet nimesh 9 months ago
 
g(x) and h(x) has condition 0
 
vineet nimesh 9 months ago
If x = r cos a cosb cos c, y = cosa cosb sinc, z = r sina cosb u = r sinb then x square + y square + z square + u square =
 
 
Hi, Follow the following steps : Substitute the values in the expression. Observe the first term and second term carefully. If you take whatever common than this will be COMBINED one term....
  img
Yash Baheti 7 months ago
if vectors a and b are two unit vectors and theta be the angle between them, find the value of theta such that a+b is a unit vector.
 
 
Hi Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
  img
Arun Kumar 10 months ago
Calcilate the area bounded between the curves y = x and y = lnx from 0 and 1.
 
 
Ans: Hello Student, Please find answer to your question below y = x y = lnx Area b/w curves ‘A’
  img
Jitender Singh 8 months ago
 
first we should find the area covered by the line in the interval oto1 then we find area covered by the curve lnx in the interval 0 to 1 then the difference gives us the answer
 
pavansai 7 months ago
View all Questions »