JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

If are positive integers then

(1+ + (1+ + (1+ + (1+

is a real number if and only if

Answer: (D)

Solution

. The expression is

+ .

Since , we have , so each bracket is , which is real. In polar form (book's

See the full step-by-step solution

Create a free account to read the complete working (5 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-108037