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JEE Main2012MathematicsComplex NumberActual

Let Z₁ and Z₂ be any two complex number. Statement 1: |Z₁-Z₂ | |Z₁ |- |Z₂ | Statement 2: |Z₁+Z₂ | |Z₁ |+ |Z₂ |

Options

  1. AStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
  2. BStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
  3. CStatement 1 is true, Statement 2 is false.
  4. DStatement 1 is false, Statement 2 is true.

Correct answer

B. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

Step-by-step solution

Statement -1 and 2 both are true. It is fundamental property. But Statement - 2 is not correct explanation for Statement -1 .

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