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If 0 < x < y < 10, then A(x, y) represents the area of the r

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If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post   27 Nov 2019, 11:22
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If \(0 < x < y < 10\), then \(A(x, y)\) represents the area of the region bounded by the number line, the semi-circle, and the vertical segments at \(x\) and \(y\), as indicated by the shaded region.


\(0 < a < b < c < 10 \)

Quantity A
Quantity B
\(A(a, b) + A(b, c)\)
\(A(a, c)\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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C
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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post   14 Jan 2020, 07:29
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Refer attached figure

A(a,b) is Area of the shaded region in blue + A(b,c) is the area of the shaded region in green
Clearly sum of these two is equal to the area of the shaded region in red = A(a,c)
So, both quantities are equal.
So, Answer is C
Hope it helps!
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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post   15 Jan 2020, 02:49
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If you visualize the question in your mind then: A(a,b)+A(b,c)= area between a and c
A(a,c)= area between a and c

So the answer is C.
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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post   17 Sep 2022, 09:04
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink]
17 Sep 2022, 09:04
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