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Most Important Selected Qs for JEE AdvancedMathematicsContinuity and Differentiability

STATEMENT 1: Consider a function f(z)= 1 1+z^2 where z complex number then, f(z) is continuous inside a unit circle centred at origin. STATEMENT 2:|z| 1 if f(z) is continuous.

Options

  1. ABoth the statements are true and Statement 2 is correct explanation of Statement 1.
  2. BBoth the Statements are true and Statement 2 is not the correct explanation of Statement 1.
  3. CStatement 1 is true and Statement 2 is false.
  4. DStatement 1 is false and Statement 2 is true.

Correct answer

A. Both the statements are true and Statement 2 is correct explanation of Statement 1.

Step-by-step solution

1 1+z^2 is continuous every where except where 1+z^2=0 z= i so when |z| 1 then above points are excluded so f(z) is continuous

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