If ( 1+ i 1- i )^ x =1, then
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(\left(\frac{1+\mathrm{i}}{1-\mathrm{i}}\right)^{\mathrm{x}}=1,\) then
- x = 2n, where n is any positive integer
- x = 4n + 1, where n is any positive integer
- x = 2n + 1, where n is any positive integer
- x = 4n, where n is any positive integer
Answer
(D) x = 4n, where n is any positive integer
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If z is a complex number of unit modulus and argument θ, then arg ( 1+z 1+ z ) equals:
- If x=-5+2 -4 , then the value of x^ 4 +9 x^ 3 +35 x^ 2 -x+4 is -40 k . The value of is
- If a+i b = x + iy, then possible value of a-i b is
- If a ∈ R and the equation –3 (x – [x]) 2 + 2 (x – [x]) + a 2 = 0 (where [x] denotes the greatest integer ≤ x)…
- Given below are two statements. STATEMENT - 1 (Assertion): If 5 z_ 2 11 z_ 1 is purely imaginary then, | 2 z_…
- If II and β ( II < β) are the roots of the equation x 2 + bx + c = 0 when c < 0 < b, then
- If α, β are roots of Ax 2 + Bx + C = 0 and α 2 , β 2 are roots of x 2 + px + q = 0, then p is equal to
- If the difference between the roots of x 2 + ax + b = 0 and x 2 + bx + a = 0 is same and a ≠ b, then
More Complex Numbers and Quadratic Equations questions · Browse all practice questions