If the system of equations x + y + z = 5 x + 2y + 3z = 9 x + 3y + az = … has infinitely many solutions, then … … … equals -

Option A. …D = \left| {\matrix{ 1 & 1 & 1 \cr 1 & 2 & 3 \cr 1 & 3 & \alpha \cr

Matrices and Determinants

JEE Main 2019 · 10 Jan, Morning shift · Q4571

MathematicsMedium244×since 2002Q4571

If the system of equations x + y + z = 5 x + 2y + 3z = 9 x + 3y + az =

\beta

has infinitely many solutions, then

\beta

-

\alpha

equals -

JEE Main 2019 · 10 Jan, Morning shift · Q4571

MathematicsMedium244×since 2002Q4571

If the system of equations x + y + z = 5 x + 2y + 3z = 9 x + 3y + az =

\beta

has infinitely many solutions, then

\beta

-

\alpha

equals -