Question:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The integral \(\int\limits_c\frac{z^2+6z+2}{z-2} dz = 0\), where C is the circle |z|=3
Reason R: If there is no pole inside and on the contour C, then the value of the integral of the function along C is zero
In the light of the above statements, choose the correct answer from the options given below

Updated On: Mar 21, 2024
  • Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is NOT the correct explanation of A
  • A is true but R is false
  • A is false but R is true
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The Correct Option is C

Solution and Explanation

The correct option is(C):A is true but R is false
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