Question
Download Solution PDFThe number of parallel tangents of a circle with a given tangent is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Explanation:
The largest chord in a circle is the diameter. This meets the circle at two points. The points of tangency lie on the two points where the diameter meets the circle.
∴ A circle can have 2 parallel tangents at most.
So, only one parallel tangent is possible for a given tangent.
Important points:
This diameter meets the circle in exactly two points. So there is no more space for a third or more parallel tangents
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