If ((1 + i)/(1 - i))ˣ = 1 then:

(B) x = 4n, where n is any positive integer

(A) x = 2n + 1, where n is any positive integer

(C) x = 2n, where n is any positive integer

(D) x = 4n + 1, where n is any positive integer.

Complex Numbers and Quadratic Equations: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q3235

JEE Main 2003Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

{\left( {{{1 + i} \over {1 - i}}} \right)^x} = 1

then :

JEE Main 2003 · Annual, Paper 1 · Q3235

JEE Main 2003Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

{\left( {{{1 + i} \over {1 - i}}} \right)^x} = 1

then :