How we should do co ordinate geometry easily
Answers
This is the first golden rule of coordinate geometry. Make sure that all the given information is translated into a diagram. Try making it accurate as possible since knowing the quadrants and points (explained next) make it easier to find and eliminate answers. Mark whatever is required to solve this problem, in your diagram.
Coordinate geometry questions that show up in the multiple question section can be shortened by eliminating options. Using the position of a point relative to a line, circle or another standard conic can go a long way in providing insights on which options are correct. CAUTION: DO NOT use this in integer answer type or subjective questions where finding this is a waste of time. Be careful with the signs else the entire exercise is pointless.
Most questions do not necessarily specify usage of coordinate systems or involve transformation. In such situations, it is imperative that you transform or choose axes that help in cutting down the calculation time. The last thing you want to do is spend precious minutes on finding large squares and mind boggling square roots. When doing this, make sure you note down relevant changes made in the coordinate systems to avoid the tension building confusion that may ensue.
With this, we would like to point out that all of these techniques in coordinate geometry can be mastered and perfected only with practice over time irrespective of format. Practicing in examination environment while giving tests will help building the confidence needed to deal with the stress that D-Day will throw at you.
Cheers and Good Luck.