Q. 10 F5.0( 3 Votes )

Find the modulus of each of the following:



Answer :

Given:

Firstly, we calculate and then find its modulus




[ i2 = -1]



Now, we rationalize the above by multiplying and divide by the conjugate of 1 + i



…(i)


Now, we know that,


(a + b)(a – b) = (a2 – b2)


So, eq. (i) become




[ i2 = -1]


[ i2 = -1]




= 2 – i


Now, we have to find the modulus of (2 – i)


So,


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