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amit rai Grade: Upto college level
        if x=z/conj(z)

then/x/ equal
(A) 0
(B) -1
(C) i
(D) none of these
6 years ago

Answers : (1)

Puneet Mittal AskiitiansExpert-IITD
22 Points
										

Hi Amit,


The answer is (d) - none of these.


x = z/conj(z) = (x + iy)/(x - iy)


x = (x+iy)2/(x-iy)(x+iy) ( Multiplying Nr and Dr by x + iy )


   = ( x2 - y2  + 2ixy ) / ( x2  + y2 )


Modulus of x = Root  [((x2 - y2)/( x2  + y2 ))2  + (2xy)2/( x2  + y2 )2]


                   = 1/( x2  + y2 )*Root(x4 + y4 -2x2y2  + 4x2y2)


                   = 1/( x2  + y2 )*Root( x4 + y4 + 2x2y2 )


                   = 1/( x2  + y2 )*Root(( x2  + y2)2)


                   =  1/( x2  + y2 )*( x2  + y2 )


                   = 1


Hence Answer is (d)


Please feel free to ask as many questions as you have.


Puneet

6 years ago
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