Question

 

If , then the greatest value of  is

 

Solution

Correct option is

3/2

 

  

                                                                                                                 

in L.H.S. we take ‘c’ as constant and take the maximum and minimum value and introduce the inequality.

                                                                       

and equality holds when 

                                            

Which is always les then .

      

equality holds when 

   

equality holds when (i) and (ii) both hold, 

.

SIMILAR QUESTIONS

Q1

 

The value of  is where xo denotes the degrees :

 

Q2

 is equal to

Q4

If the mapping of f(x) = ax + ba < 0 maps [–1, 1] onto [0, 2], then for all values of  is

Q5

 

The most general values of ‘x’ for which

         

are given by:

Q6

 

Value of ‘x’ and ‘y’ satisfying the equation 

     are :

 

Q7

 

If , then the most general solution of  are (where [x] is the greatest integer less than or equal to ‘x’).

 

Q8

If , then the set of possible values of 

Q9

If  for some real x, then the minimum value of  is equal to

Q10

, then ‘a’ is equal to