Home
Class 11
MATHS
A Value of theta for which frac{2+3isin...

A Value of theta for which `frac{2+3isintheta}{1-2isintheta}` is purely imaginary is

A

`A.frac{pi}{3}`

B

`B.frac{pi}{6}`

C

`C.sin^-1(frac{sqrt(3)}{4})`

D

`D.sin^-1(frac{1}{sqrt3})`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Find real values of theta for which (4 + 3i sin theta) / (1 - 2i sin theta) is purely real.

Show that z= frac{5}{(1-i)(2-i)(3-i)} is purely imaginary number

The real part of frac{1}{1-costheta+isintheta} is equal to

Select and write the correct answer from the given alternatives in each of the following: The smallest positive integral value of n for which ((1 - i) / (1 + i))^n is purely imaginary with positive imaginary part is

If theta in R and frac{1-icostheta}{1+2icostheta} is real number, then theta will be (when I :Set of integers)

The value of \int_{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) d theta is ................... (A) 0 (B) 1 (C) 2 (D) pi

frac{3+2isintheta}{1-2isintheta} will be real , if theta = [where n is an integer]

If z is a complex number such that frac{z-1}{z+1} is purely imaginary, then

Find the most general value of theta which satisfies the equation sin theta =-(1)/(2) and tan theta =(1)/(sqrt(3))