The conjugate of a complex number is $${1 \over {i - 1}}$$ then that complex number is :
JEE · Math · previous-year question
- A.$${{ - 1} \over {i - 1}}$$
- B.$${1 \over {i + 1}}\,$$
- C.$${{ - 1} \over {i + 1}}$$correct
- D.$${1 \over {i - 1}}$$
Answer
C. $${{ - 1} \over {i + 1}}$$
Explanation
$$\left( {{1 \over {i - 1}}} \right) = {1 \over { - i - 1}} = {{ - 1} \over {i + 1}}$$
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