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In the circle above, chords AC and BD intersect at point P.

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by VJesus12 » Mon Apr 01, 2019 4:18 am

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Answers

A

B

C

D

E

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In the circle above, chords AC and BD intersect at point P. If PD/PC = 5/3, what is the length BP?

(1) AP=10
(2) Angle BPC measures 90 degrees.

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Tue Apr 02, 2019 12:11 am
VJesus12 wrote:Image

In the circle above, chords AC and BD intersect at point P. If PD/PC = 5/3, what is the length BP?

(1) AP=10
(2) Angle BPC measures 90 degrees.

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
Since AP and BD are two chords that intersect, we have AP*PC = BP*PD

=> PC/PD = BP/AP
5/3 = BP/AP
BP = 5*AP/3

If we get the value of AP, we get the value of BP.

Let's take each statement one by one.

(1) AP = 10.

Sufficient.

(2) Angle BPC measures 90 degrees.

Certainly insufficient.

The correct answer: A

Hope this helps!

-Jay
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