Assertion (A): The tangent to a circle is a special case of the secant, when the two end points of its corresponding chord coincide. Reason (R): A tangent to a circle is a line that intersects the circle at only one point.
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A tangent is a special case of a secant, where the two end points of the chord coincide, making the line touch the circle at exactly one point.
Both A and R are correct and R is the correct explanation of A.
Both A and R are correct but R is not the correct explanation of A.
A is correct but R is incorrect.
Both A and R are incorrect.
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The Correct Option isA
Solution and Explanation
- Assertion (A): The tangent to a circle is a special case of the secant when the two end points of its corresponding chord coincide. This is true because a secant intersects a circle at two points, and when the two points coincide, the secant becomes a tangent that touches the circle at exactly one point.
- Reason (R): A tangent to a circle is a line that intersects the circle at only one point. This is also true. A tangent intersects the circle at exactly one point, whereas a secant intersects the circle at two points.
Step 2: Conclusion.
Since both the assertion and reason are correct, and the reason is the correct explanation for the assertion, the correct answer is (A).
Final Answer:} Both A and R are correct and R is the correct explanation of A.