Coordinate Geometry DS question

rerika01 wrote:Need some help to approach this DS question. Anyone out there can help? Thanks

A circular area has its center at point P and has a radius 4, and points X and Y lie in the same plane as the circular area. Does Point Y lie outside the circular area?
A) The distance between point P and X is 4.5
B) The distance between point X and Y = 9

statement 1 does not give u any info on y... so forget it...

statement 2 gives distance between x and y.... but u have nothing to compare that distance with the circle at point p
again insufficient...

together...

since point x is 4.5 units... its outside the circle...

now consider point y at a distance of 9 from x.... (its better if u draw it... so that u can visualize it... )
no matter where point y is around x... it will not be inside the circle...
u can think of drawing another circle with point x as center and a diameter of 9...
y lies at any point on that circumference... so it will never be inside the circle...

hence answer C...

hope that helps...

My pick is C

Statement 1 is insufficient . Should be easy to establish that because it talks only about point X ...But we are interested in finding the location of point Y


Statement 2
Radius of circle is 4 .
The statement 2 says XY = 9 ..it could be any of the cases. Y lies within the circle or outside the circle
Hence insufficient

Now lets look at both the statements in conjunction
Statement 1 says point X is surely outside of the circle because PX = 4.5 and the radius of the circle is 4 and the shortest distance from the circle's circumference to point X is 0.5 .

Now go to statement 2 . It says XY = 9 .... So the longest line the circle can accommodate starting from point X is 8.5 (0.5 + diameter of circle).. But XY = 9...So Y surely lies outside of the circle