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AP EAMCET202125 Aug 2021Evening ShiftMathematicsDeterminantsActual

The system of equations x+2 y=3 and 3 x+6 y=a-2 has no solution

Options

  1. AIf a = 11
  2. BIf a -9
  3. CIf a 9
  4. DIf a 11

Correct answer

D. If a 11

Step-by-step solution

Given The system of equations x+2 y=3 , 3 x+6 y=a-2 has no solution. Since, we know that simultaneous linear equations a₁ x+b₁ y=c₁ and a₂ x+b₂ y=c₂ has no solution, if a₁ a₂ = b₁ b₂ c₁ c₂ Hence, from the given equations, aligned 1 3 & = 2 6 3 a-2 1 3 & = 1 3 3 a-2 aligned To satisfy above condition, a-2 9 a 11

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