Option 1 - Lucknow: This city is not located in the farthest east.
Option 2 - Jabalpur: The position of Jabalpur is not mentioned in the question, so we cannot determine if it is located in the farthest east.
Option 3 - Hyderabad: The position of Hyderabad is not mentioned in the question, so we cannot determine if it is located in the farthest east.
Option 4 - Chennai: The position of Chennai is not mentioned in the question, so we cannot determine if it is located in the farthest east.
Based on the given options, none of the cities are specifically mentioned to be in the farthest east. Therefore, the correct answer cannot be determined.
Alert - correct answer should be that the correct answer cannot be determined.