The line represented by x = 7 is parallel to the X - axis, justify whether the statement is true or not.

For the pair of equations λx + 3y + 7 = 0 and 2x + 6y - 14 = 0. To have infinitely many solutions, the value of λ should be 1. Is the statement true? Give reasons.

For all real values of c, the pair of equations x - 2y = 8 and 5x - 10y = c have a unique solution. Justify whether it is true or false.

For which value(s) of λ do the pair of linear equations λx + y = λ² and x + λy = 1 have

(i) no solution?

(ii) infinitely many solutions?

(iv) a unique solution?

For which value (s) of k will the pair of equations

kx + 3y = k - 3

12x + ky = k

has no solution?