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
Tangent to a circle is defined as a straight line that intersects the circle at exactly one point on the circle .
Statement A is incorrect as it says two points .
Statement C is correct as it says "No tangent to a circle passes through inside circle" .
Statement B : A circle can have two parallel tangents at the most .
Explanation : For any point on the circle we can draw a tangent and for the point which is diametrically opposite to the initial point, we can draw a tangent which will be parallel to the first tangent .
Reason : Line joining the centre of circle and tangent should be perpendicular to tangent at that particular point.
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