Which of the following statements are True in the context of circles?
- A. A tangent of a circle touches it at two points.
- B. A circle can have two parallel tangents at the most.
- C. There is no tangent to a circle passing through a point inside the circle.
Choose the correct answer from the options given below:
Which of the following statements are True in the context of circles?
- A. A tangent of a circle touches it at two points.
- B. A circle can have two parallel tangents at the most.
- C. There is no tangent to a circle passing through a point inside the circle.
Choose the correct answer from the options given below:
Solution
✅ Correct Option: 4
Statement A: "A tangent of a circle touches it at two points"
- FALSE. By definition, a tangent touches a circle at exactly one point.
Statement B: "A circle can have two parallel tangents at the most"
- TRUE. A circle can have atmost two parallel tangents on opposite sides of the circle.
Statement C: "There is no tangent to a circle passing through a point inside the circle"
- TRUE. A tangent is perpendicular to the radius at the point of contact and always lies outside the circle (except at the point of contact).
Therefore, Statements B and C are TRUE.
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JIPMAT 2022