The number of real values of λ for which the system of linear equations 2x + 4y - λ z = 0 4x + λ y + 2z = 0 λ x + 2y + 2z = 0 has infinitely many solutions, is:

Matrices and Determinants: JEE Main 2017 Mathematics question

JEE Main 2017 · 8 Apr, Morning shift · Q4558

JEE Main 20178 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

The number of real values of

\lambda

for which the system of linear equations 2x + 4y

-

\lambda

z = 0 4x +

\lambda

y + 2z = 0

\lambda

x + 2y + 2z = 0 has infinitely many solutions, is :