1. Tardigrade
  2. Question
  3. Mathematics
  4. For which of the following ordered pairs (μ, δ), the system of linear equations x + 2y + 3z = 1 3x + 4y + 5z = μ 4x + 4y + 4z = δ is inconsistent ?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. For which of the following ordered pairs $\left(\mu, \, \delta\right),$ the system of linear equations
$x + 2y + 3z = 1$
$3x + 4y + 5z = \mu$
$4x + 4y + 4z = \delta$
is inconsistent ?

JEE MainJEE Main 2020Determinants

Solution:

$2 × \left(ii\right) - 2 × \left(i\right) - \left(iii\right) : -$
$0=2\mu-2-\delta$
$\Rightarrow \delta=2\left(\mu-1\right)$