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If (a,b) is a point in the xy-plane, then the distance betwe

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If (a,b) is a point in the xy-plane, then the distance betwe [#permalink] New post 11 Dec 2017, 10:03
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If (a,b) is a point in the xy-plane, then the distance between (a,b) and the x-axis is |b| and the distance between (a,b) and the y-axis is |a|.

Quantity A
Quantity B
The total number of points P in the xy-plane such that the distance between
P and one of the axes is 10 and the distance between P and the other axis is 8
The total number of points Q in the xy-plane such that the distance between
Q and one of the axes is 5 and the distance between Q and the other axis is 4.


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: If (a,b) is a point in the xy-plane, then the distance betwe [#permalink] New post 27 Jan 2018, 04:04
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Re: If (a,b) is a point in the xy-plane, then the distance betwe [#permalink] New post 27 Jan 2018, 23:48
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since the distance is an absolute measure for p(x,y):
To have a distance of 8 and 10 coordinates on any axis can have the following forms:
(8,10)
(-8,10)
(-8,-10)
(8,-10)
(10,-8)
(-10,-8)
(10,8)
(-10,8)

This will be the same situation for point Q(x,y)
No of total possibilities on each case=8
(C)

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Re: If (a,b) is a point in the xy-plane, then the distance betwe   [#permalink] 27 Jan 2018, 23:48
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