Math, asked by Anonymous, 4 months ago

Prove that the tangent at any point of the circle is perpendicular to the radius through the point of contact ..... No irrelevant answers ​

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Answered by Anonymous
19

Answer:

Thats it!!

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Answered by itsAwesomeSoul
40

Step-by-step explanation:

Referring to the figure:</p><p></p><p></p><p>OA=OC (Radii of circle)</p><p></p><p></p><p>Now OB=OC+BC</p><p></p><p></p><p>∴OB&gt;OC    (OC being radius and B any point on tangent)</p><p></p><p></p><p>⇒OA&lt;OB</p><p></p><p></p><p>B is an arbitrary point on the tangent. </p><p></p><p></p><p>Thus, OA is shorter than any other line segment joining O to any </p><p></p><p>point on tangent.</p><p></p><p></p><p>Shortest distance of a point from a given line is the perpendicular distance from that line.</p><p></p><p></p><p>Hence, the tangent at any point of circle is perpendicular to the radius.</p><p></p><p>

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