The following system of linear equations 7x + 6y - 2z = 0 3x + 4y + 2z = 0 x - 2y - 6z =…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

The following system of linear equations

7x + 6y - 2z = 0

3x + 4y + 2z = 0

x - 2y - 6z = 0 has

  1. infinitely many solution, (x, y, z) satisfying y = 2z
  2. infinitely many solution, (x, y, z) satisfying x = 2z
  3. only the trivial solution 
  4. no solution

Answer

(B) infinitely many solution, (x, y, z) satisfying x = 2z

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