Question

 

The number of pairs (xy) satisfying the equations

    

Solution

Correct option is

6

 

The first equation can be written as

      

  

  

  

        

      

When x + y = 0, we have to reject x + y = 1 or –1 and solve it with x – y = 1 or x – y = –1 which give (1/2, –1/2) or (–1/2, 1/2) as the possible solutions. Again solving with x = 0 we get  and solving with y = 0 we get  as the other solutions. Thus we have six sets of solutions for x and y.

SIMILAR QUESTIONS

Q1

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

Q3

 

The number of solutions of the pair of equations 

         

            

in the interval  is

Q4

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

Q5

The equation  possesses a solution if

Q6

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

Q7

The number of solutions of the equation 

Q8

 

If n be the number of solutions of the equation

         , then n =

Q9

 

The values of x between 0 and  which satisfy the equation

      

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

Q10