Find the equation of the line shown.
1 answer:
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Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
Divide both sides by 2.
Splitting the middle term, we get
Using zero product property, we get
or
or
For , the side AE is negative. So,
is not possible.
Therefore, the required solution is .