The general value of θ which satisfies the equation ( +i )( 3 +i 3 ) [ (2 n-1) +i (2 n-1)…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
The general value of θ which satisfies the equation \((\cos \theta+i \sin \theta)(\cos 3 \theta+i \sin 3 \theta) \ldots[\cos (2 n-1) \theta+i \sin (2 n-1) \theta]=1\)
(where r = 0, 1, 2, 3, ...)
- \(\frac{m}{n^{2}}\)
- \(\frac{(n-1) \pi}{n^{2}}\)
- \(\frac{(2 r+1) n}{n^{3}}\)
- \(\frac{2 r \pi}{n^{2}}\)
Answer
(D) 2 r n^ 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If x + iy = (1 + i) (1 + 2i) (1 + 3i), then x 2 + y 2 =
- The least positive integer n such that ( 2 i 1+ i )^ n is a positive integer, is
- If x = a + b, y = aα + bβ, z = aβ + bα, where α, β are complex cube roots of unity, (a, b ∈ R ), then xyz…
- If then 4+5 (- 1 2 + i 3 2 )^ 334 -3 ( 1 2 + i 3 2 )^ 365 is equal to
- If the roots of the equation x^ 2 -b x+c=0 be two consecutive integers, then b^ 2 -4 c equals
- If then x is equal to
- If A(z 1 ), B(z 2 ), C(z 3 ) and P(z) represents complex numbers such that | z _ 1 - z |= | z _ 2 - z |= | z…
- If |z 1 | = |z 2 | = ... = |z n | = 1, then the value of |z 1 + z 2 + z 3 + ... + z n | is:
More Complex Numbers and Quadratic Equations questions · Browse all practice questions