If z = x + iy and w = 1- iz z - i , then |w| = 1 implies that in the complex plane
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If z = x + iy and \(\mathrm{w}=\frac{1-\mathrm{iz}}{\mathrm{z}-\mathrm{i}},\) then |w| = 1
implies that in the complex plane
implies that in the complex plane
- z lies on the imaginary axis
- z lies on the real axis
- z lies on the unit circle
- None of the above
Answer
(B) z lies on the real axis
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- 3+2 i 1-2 i will be purely imaginary, if θ is equal to
- If roots of the equation x 4 – 12x 3 + bx 2 + cx + 81 = 0 are positive then Value of b is
- If the quadratic equations ax 2 + 2cx + b = 0 and ax 2 + 2bx + c = 0 (b ≠ c) have a common root, then a + 4b…
- Let =- 1 2 +i 3 2 . Then the value of | array ccc 1 & 1 & 1 1 & -1- ^ 2 & ^ 2 1 & ^ 2 & ^ 4 array |
- If roots x 1 and x 2 of x 2 + 1 = x a satisfy | x _ 1 ^ 2 - x _ 2 ^ 2 |> 1 a , then a (- 1 k , 0 ) (0, 1 k )…
- If a < b < c < d, then for any positive λ, the quadratic equation (x – a) (x – c) + λ(x – b) (x – d) = 0 has
- If the quadratic equations, 3x 2 + ax + 1 = 0 and 2x 2 + bx + 1 = 0 have a common root, then the value of the…
- Equation has
More Complex Numbers and Quadratic Equations questions · Browse all practice questions