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Given:
Diagram of a circle and its two secant from an exterior point.
To find:
The value of x.
Solution:
We know that, If two secant are on a circle from an exterior point, then the products of measure of secants and measure of external segments of secants are equal.
Using the above property, we get
Splitting the middle term, we get
Using zero product property, we get
and
and
Side cannot be negative.
Therefore, the only possible value of x is 1.