1)The value (S) k which the pair of linear equations 3x_2y_7=0 and 6x+ky+11=0 has an unique solution is :

A) 4 

B)_4

C) all real numbers except 4

D) all real numbers expect _4

 

The given equations are  :  3x - 2y - 7 = 0  ............(1)

 and  6x + ky + 11 = 0  .......(2)

comparing above two equations with standard equations a₁x + b₁y + c₁ = 0 and  a₂x +b₂y + c₂ = 0

we get a₁ = 3  ;   b₁ = -2  ;  c₁ = -7 

 a₂ = 6  ;  b₂ = k  ;  c₂ = 11

 for unique solution, we have

so, (d) is the correct option