Statement 1: If (1-i)=a+ib, where a,b R and i= -1 , then a= 12 (e+ 1e ) 1, b= 12 (e- 1e ) 1 Statement 2: e^ i = +i

JEE Main Mathematics question

Statement 1: If , where and , then , Statement 2:

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

, and from Euler's formula and . So

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

Question ID VK-013657