Question

 

Solution

Correct option is

 

The left hand side of the given equation is an infinite G.P. with ratio . Since . We now sum up the infinite G.P. so that the given equation becomes 

                           

                           

    

.

SIMILAR QUESTIONS

Q2

 

The number of solutions of the pair of equations 

         

            

in the interval  is

Q3

If  are the smallest +ive angles in ascending order of magnitude which have their sines equal to a +ive quantity  then the value of 

Q4

The equation  possesses a solution if

Q5

The number of values of x in the interval  satisfying the equation  is

Q6

The number of solutions of the equation 

Q7

 

If n be the number of solutions of the equation

         , then n =

Q8

 

The values of x between 0 and  which satisfy the equation

      

are in A.P. The common difference of the A.P.

Q9

 

The number of pairs (xy) satisfying the equations

    

Q10

 

The smallest +ive x such that