Then The Number Of Solutions Of The System Of Equations       : 

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Question

then the number of solutions of the system of equations

      

Solution

Correct option is

One

          

  

Since, t is real

  

   

   

  

                         [Determinant of coefficients of equations]  

               

Hence the given system of equations has a unique solution.

Testing

SIMILAR QUESTIONS

Q1

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

                             :

Q2

The value of  lying between  and satisfying the equation  

        :

Q3

 

          .

          

            

has a non-zero solution, then value of  

         

Q4

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

Q5

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

Q6

 is :

Q7

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

Q8

The homogeneous system of equation :

 has non-trivial solutions if :

Q9

 :