Question

The number of all possible triplets  such that  for all x is :

Solution

Correct option is

Infinite

 

We have, 

      

  

   which is zero for all value of ‘x’ : 

  

    

For any  R

Hence the required no. of triplets is infinite.

SIMILAR QUESTIONS

Q1

The general solution of 

Q2

Number of solution of the given equation  lying in the interval  is

Q3

 

The general solution of                                                                             

        

Q4

The solution of the equation  is

Q5

 

The number of the solution of the equation

     

Q6

 

The number of real solution of the equation

     :

Q7

 

ABC is a triangle such that

         

If AB and C are in A.P. then the value of AB and C are

Q8

 (x is measured in radian). Then ‘x’ lies in the internal.

Q9

The number of point of intersection of the two curves y = 2 sin x and 

Q10

The equation  possesses a solution if :