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Find the solution set of m in the given consistent system of equations.

mx - 2y = 3

x + 2 my = m

  1. R
  2. R+
  3. R-1
  4. ϕ

Answer (Detailed Solution Below)

Option 1 : R
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Detailed Solution

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Case 1: D ≠ 0

 ≠ 0

2m2 + 2 ≠ 0

m2 + 1 ≠ 0

m2 ≠ -1

This is true for all values of m.

Case 2: D = 0

2m2 + 2 = 0

m2 + 1 = 0

m2 = -1

This is never true.

∪ of both the cases is: m ϵ R

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