The measure of the chord intercepted circle and the line is
Explanation for the correct option:
Step 1: Find the points of intersection.
A circle and a line is given.
So, we can rewrite the equation of line as follows .
Now, from the equation of the circle, we get
Use quadratic fornula.
Therefore, the coordinates of the points of intersection are .
From equation .
When .
Therefore, when , .
When .
Therefore, when , .
Therefore, the point of intersections are and .
Step 2: Compute the length of the chord.
We know that the length of the chord is equal to the distance between the points of intersection of the circle and the line.
So,
Therefore, the length of the chord is .
Hence, option is the correct answer.