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How do I solve this problem

How do I solve this problem-example-1
User Bakhtiyor
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1 Answer

4 votes

Answer:

G. 8

Explanation:

Let point X be the point where the chords intersect. For a given point of intersection, the product of the distances from that point to the circle is a constant. Here, that means ...

XA·XB = XC·XD

3x = 4·6 . . . . substitute the given values

x = 24/3 . . . . divide by the coefficient of x

x = 8

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This is a property of chords (and secants). The same relationship is true even if point X is outside the circle: the product of distances to the two intersection points with the circle is a constant.

User Layton Everson
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