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Get Answers to all your Questions
Prove that the tangent drawn at any point of a circle is perpendicular to the radius through the point of contact.
Answers (1)
Given : Circle with centre O. Tangent XY with point of contact A.
To prove :
Proof :
Let B be the point on XY connect OB.
Suppose it touches the circle at C.
Hence,
Similarly, all other points of circle will also have the same relation.
Hence OA is the smallest line that connects XY.
As we know, the smallest line is perpendicular.
Hence,
Hence proved.
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