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Question

Mathematics Question on Cauchy’s integral formula

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The integral cz2+6z+2z2dz=0\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

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is NOT the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Answer

A is true but R is false

Explanation

Solution

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