Co-ordinate Geometry (Source: Kaptests)

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abhishek karumuri: Newbie | Next Rank: 10 Posts; Posts: 7; Joined: Wed Dec 22, 2010 3:55 am

by abhishek karumuri » Mon Nov 21, 2011 11:27 am

The distance from the x -axis to point P is half the distance from the y -axis to point P . If the coordinates of P are ( x , - 7), how many units is P from the y -axis?

A)3.5
B)7
C)9.8
D)10.5
E)14

OA: E

Plz help

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Source: Beat The GMAT — Problem Solving | Mon Nov 21, 2011 11:27 am

kanwar86: Senior | Next Rank: 100 Posts; Posts: 99; Joined: Thu Jun 09, 2011 2:09 pm; Thanked: 11 times

by kanwar86 » Mon Nov 21, 2011 11:33 am

abhishek karumuri wrote:The distance from the x -axis to point P is half the distance from the y -axis to point P . If the coordinates of P are ( x , - 7), how many units is P from the y -axis?

A)3.5
B)7
C)9.8
D)10.5
E)14

OA: E

Plz help

IMO answer is E)
Approach - The distance from the x -axis to point P...ordinate of P
the distance from the y -axis to point P...abscissa of P
co-ordinates of P are (2a, a)
Equate (2a,a) with ( x , - 7)

Regards

Kanwar

"In case my post helped, do care to thank. Happy learning

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pemdas: Legendary Member; Posts: 1084; Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members; Thanked: 158 times

by pemdas » Tue Nov 22, 2011 2:42 am

we have a function concept applied with a coordinate geometry topic
y=(1/2)*x, the coordinates of P is (x,-7) and according to our function we may have -7=(1/2)*x OR x=-14. Now the question asks "how many units is P from the y-axis" note please the word 'unit' and we are not looking for coordinate which is -14, but looking for 'how many units'. The answer is 14 units, E.

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