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
f(x) = maximum {4, 1+x^2, x^2 -1}, x belong R. total no of points where fx is non differentiable ? graphical approach if possible
 
 
Hi Arpit, First note that x^2 + 1 > x^2 – 1 for all x belonging to R Therefore, max{4, x^2 -1, x^2+1} = max{4, x^2 + 1} Now, x^2 + 1 is a quadratic expression and opens upwards. To find the...
 
Asish Mahapatra 8 months ago
 
thank u for your help
 
Arpit Dhankar 8 months ago
IF F(n + 1) = 2F(n) +1/2( WHOLE DIVIDED BY 2) , WHERE n=1,2,3..... AND F(1)=2 , THEN THE VALUE OF F(11)=?
 
 
Ans: Hello Student, Please find answer to your question below n = 1 So it form an AP with a common difference of ½.
  img
Jitender Singh 9 months ago
what is meant by contunity of functions
 
 
Ans: Continuity of a function at a given point means that it should exist at the given point & left hand limit & right hand limit should exist & equal to each other &...
  img
Jitender Singh 10 months ago
if e2= (1,1,1) and e2=(1,1,-1) a and b are two vectors such that e1=2a+b and e2=a+2b then the angle between a and b is cos -1 (7/9) cos -1 (7/11) cos -1 (-7/11) cos -1 [6∫2/11]
 
 
on solving the equations between e1,e2,a and b we get a= (1/3,1/3,1) b= (1/3,1/3,-1) using a.b=ab cosx x is the angle between a and b so answer is c) cos -1 (-7/11) approve if useful
 
ng29 22 days ago
tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 is
 
 
Hello student, Please find the answer to your question below tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 = take tan square common tan 2 20( tan 4 20 – 33 tan 2 20 + 27 ) now you...
  img
Nishant Vora 8 months ago
evaluate the following integral ∫ 1 / sin x cos^2 (x) dx
 
 
Ans: Hello student, Please find the answer to your question below
  img
Jitender Singh 8 months ago
View all Questions »