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i got the ANSWER by drawing the lines in a sheet and then finding out...is there any other easier way plz... i want to lessen the number of calculations i do...help required from the SMEs here _________________
Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat
when the equation is y=1 then why is your line on the graph passing through y=2... also when we have x=2... the distance between y=x line and dst between x=2 line are same. i am confused badly. _________________
Hope to clear it this time!! GMAT 1: 540 Preparing again
when the equation is y=1 then why is your line on the graph passing through y=2... also when we have x=2... the distance between y=x line and dst between x=2 line are same. i am confused badly.
The question asks out of all the lines in the option A to E, Which is closest to Point (1,0).
To your query:
Yes, the line should pass through Y=1. The distance between the point (1,0) and line Y=X and between Point (1,0) and line X=2 can be same so this tells you surely these 2 options are not the answers. You can eliminate these answer choices
Also Distance of Point (x1,y1) from a line \(ax+by+c=0\) can be found using the formulae
Here is how i did this Question without using the Distance formula
After drawing all the lines We can see tht there is a close call between (A) \(y = x\) (B) \(y = 1\) (D) \(x = 2\)
Rest 2 could be eliminated just by seeing that their distance would be greater than the above 3 lines.
As for (B) \(y = 1\) (D) \(x = 2\)
Both have Perpendicular Distance =1 from the point \((1, 0)\) Now we can guess that since we have to find the shortest distance & no 2 options can have the minimum value & be the answer Thus \(y = x\) will be the answer