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Question
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
Solution 1
- It can be observed that AB and CD are two parallel lines. Line AB intersects the circle at exactly two points, P and Q.
- Therefore, line AB is the secant of this circle. Since line CD is intersecting the circle at exactly one point, R, line CD is the tangent to the circle.
Solution 2
We have the required figure, as shown.
Here, I represents the given line, and a circle with center O is drawn. Another line, m is drawn parallel to l and acts as a tangent to the circle. Additionally, line m, which is also parallel to is drawn as a secant to the circle.
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