Question

 :

Solution

Correct option is

xy + yz + zx = – 1

    

      

      

       

This homogeneous system of equations can’t have trivial solution i.e.,  as it will make xyz not defined. 

Hence determinant of coefficients should be zero.  

           

.  

SIMILAR QUESTIONS

Q1

  

    :

Q2

If abc are the sides of a ΔABC opposite to angle ABC respectively, then

                             :

Q3

The value of  lying between  and satisfying the equation  

        :

Q4

 

          .

          

            

has a non-zero solution, then value of  

         

Q5

If a determinate of  is formed by using the number 1 or –1 then minimum value of determinant is :

Q6

A and B are square matrices and A is non-singular matrix,  : 

Q7

 is :

Q8

The value of  such that the system x – 2y + z = –4, 2x – y + 2z = 2,  has no solution is : 

Q9

The homogeneous system of equation :

 has non-trivial solutions if :

Q10

then the number of solutions of the system of equations