#### The number of real values of λ for which the system of linear equations2x+4y−λz=04x+λy+2z=0λx+2y+2z=0has infinitely many solutions, is : Option 1) 0 Option 2) 1 Option 3) 2 Option 4) 3

As we learnt in

By using the concept of

Cramer's rule for solving system of linear equations -

When   and  ,

then  the system of equations has infinite solutions.

- wherein

and

are obtained by replacing column 1,2,3 of  by   column

It will give only one real value of

Option 1)

0

Incorrect

Option 2)

1

Incorrect

Option 3)

2

Incorrect

Option 4)

3

Correct