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What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 18:06
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GMATBusters’ Quant Quiz Question 4
For past quiz questions, click here What will be the coordinates of the new origin if the coordinates of a point (17, 29) become (4, 17) after shifting the origin? A. (9,10) B. (11, 12) C. (9,14) D. (13,12) E. (12,15)
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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 18:27
If origin shifts to (x,y), then Coordinates (17,29) become (4,17) then, 17 x = 4 and 29y=17 (Although i am not 100% sure) x =13 & y=12
Imo. D.



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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 18:38
ANSWER:D Let new origin (x,y) 17x=4 x=13 29y=17 y=12



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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 19:14
The distance between (17,29) and one of the answer choices should be equal to the distance between (4,17) and the origin. Distance= Square root of sum of difference between the x and y coordinates. Using the answer choices, the only choice that fits is (13,12). Answer: D



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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 20:25
coordinates 17,29 ( h,k) become 4,17 ( x,y)
change in distance ; 174 ; 2917 ; 13,12 OPTION D What will be the coordinates of the new origin if the coordinates of a point (17, 29) become (4, 17) after shifting the origin?
A. (9,10) B. (11, 12) C. (9,14) D. (13,12) E. (12,15)



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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 21:12
What will be the coordinates of the new origin if the coordinates of a point (17, 29) become (4, 17) after shifting the origin?
A. (9,10) B. (11, 12) C. (9,14) D. (13,12) E. (12,15)
Since (17, 29) means 17 units in the positive xdirection and 29 units in the positive ydirection.
(4, 17) means 4 units in the positive xdirection and 17 unit in the positive ydirection from the new origin
Therefore, the new coordinate of the origin will be ((174) = 13, (2917) = 12) or (13,12) so option D is the correct answer



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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 21:53
New coordinates when origin is shifted to (x,y)are(Xnew,Ynew)=(Xold−x,Yold−y) (Xold,Yold) = 17,29 (x,y)=(X,Y) {coordinate of new origin} (Xnew,Ynew) = 4,17
=> (4,17)=(17x)(29y) => 4=17x => X=13 => 17=29y => Y = 12
THE CORDINATES OF NEW ORIGIN = (13,12)
Answer is D
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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 22:01
answer is (13,12) the difference in x and y coordinate respectively of the original and shifted coordinates is the answer



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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 23:45
Asked: What will be the coordinates of the new origin if the coordinates of a point (17, 29) become (4, 17) after shifting the origin? A. (9,10) B. (11, 12) C. (9,14) D. (13,12) E. (12,15) x' = 4 = 1713 = x  13 y' = 17 = 29  12 = y  12 Coordinates of new origin = (13,12) IMO D
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Re: What will be the coordinates of the new origin if the coordinates of a
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06 Jun 2020, 23:47
Quote: What will be the coordinates of the new origin if the coordinates of a point (17, 29) become (4, 17) after shifting the origin?
A. (9,10) B. (11, 12) C. (9,14) D. (13,12) E. (12,15)
D , IMO New Origin = 174 ,2917 = (13,12)
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Re: What will be the coordinates of the new origin if the coordinates of a
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07 Jun 2020, 01:30
Consider a simple example. 1) A and B are two persons 17km apart.<17> \(A\quad \quad \quad \quad \quad \quad \quad \quad B\) Now, B has a broken leg and can't walk. So, A walks and stays at a distance of 4 km from B. \(\quad \quad \quad \quad \)<4> \(\quad \quad \quad \; A \quad \quad \quad \quad \quad B\) Now, how much distance did A walk? 13kms. Just replace A with the Origin(0,0) and B with the coordinates of the point. The origin moved 13units to the right(Xaxis) to make B 4kms away from it (1) 2) X & Y are two persons 29kms apart.<29> \(X\quad \quad \quad \quad \quad \quad \quad \quad Y\) Now, X is spying on Y. So, X needs to get close and be at a distance of 17kms so as to watch Y with powerful binaculars. (Those are military grade, so can zoom 17x kms) \(\quad \quad \quad \quad \)<17> \(\quad \quad \quad \; X \quad \quad \quad \quad \quad Y\) Now, how much distance did X go? 12kms. Lets just say instead East to West, X & Y are aligned South to North. Thus, X moved 12 units North. Just replace X with the Origin(0,0) and Y with the coordinates of the point. The origin moved 12 units to the North(Yaxis) to make Y 17units from it (2) Combining (1) & (2), The origin moved 13units in positive X axis & 12units in positive Y axis. Thus the origin now is at (13,12) at a safe distance spying on Y. Answer (D) (13,12)



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Re: What will be the coordinates of the new origin if the coordinates of a
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07 Jun 2020, 04:54
Old point (x,y) wrt (0,0) origin New point (X,Y) wrt (h,k) new origin Thus x=X+h and y=Y+k
(x,y)= (17,29) (X,Y)=(4,17)
Thus by putting values we get (h,k) new origin is (13,12)
IMO ans is D




Re: What will be the coordinates of the new origin if the coordinates of a
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07 Jun 2020, 04:54




