without rotating the axes

Expert replies

sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Tue Oct 12, 2010 10:37 pm

If origin O (0, 0) is shifted to (5, 2) without rotating the axes, what will be the coordinates of the point in the new axes, which was originally represented by (1, 2) in the old axes?
(A) (-4, 2)
(B) (-4, 0)
(C) (6, 2)
(D) (6, 0)
(E) (3, 1)

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Source: Beat The GMAT — Problem Solving | Tue Oct 12, 2010 10:37 pm

shovan85: Community Manager; Posts: 991; Joined: Thu Sep 23, 2010 6:19 amFollowed by: 24 members; Location: Bangalore, India; Thanked: 146 times

by shovan85 » Tue Oct 12, 2010 11:06 pm

IMO B

The old axes point (1,2) and New axes origin (5,2)

So the old axes point (1,2) lies on new X-axis as y = 2. Hence new y = 0. Discard A, C, and E.

The old axes point (1,2) and New axes origin (5,2) so Old point definitely lies to left of New Origin. Discard D

dazzle: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Tue Oct 12, 2010 9:01 am

by dazzle » Wed Oct 13, 2010 9:01 am

Hi shovan

Can you please explain this in a little more detail. I did get a vague idea but am not sure if I would be able to solve similar problems by myself..Is there any book/website where I can know more co-ordinate geometry..MGMAT book is not sufficient..

shovan85: Community Manager; Posts: 991; Joined: Thu Sep 23, 2010 6:19 amFollowed by: 24 members; Location: Bangalore, India; Thanked: 146 times

by shovan85 » Wed Oct 13, 2010 9:45 am

dazzle wrote:Hi shovan

Can you please explain this in a little more detail. I did get a vague idea but am not sure if I would be able to solve similar problems by myself..Is there any book/website where I can know more co-ordinate geometry..MGMAT book is not sufficient..

See the image and my previous explanation. Still have issue let me know

.
The red points are old points.
Green are new points after the shift.

You can follow the below link (in Russian). Install Google chrome it will automatically translate to English.
https://www.bymath.net/studyguide/geo/sec/geo10.htm

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Wed Oct 13, 2010 9:23 pm

shovan85 wrote:
dazzle wrote:Hi shovan

Can you please explain this in a little more detail. I did get a vague idea but am not sure if I would be able to solve similar problems by myself..Is there any book/website where I can know more co-ordinate geometry..MGMAT book is not sufficient..
See the image and my previous explanation. Still have issue let me know .
The red points are old points.
Green are new points after the shift.

You can follow the below link (in Russian). Install Google chrome it will automatically translate to English.
https://www.bymath.net/studyguide/geo/sec/geo10.htm

great work, shovan85

The mind is everything. What you think you become. –Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

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