Math, asked by Anonymous, 5 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 ​

Answers

Answered by Anonymous
19

Answer:

Thats it!!

Don't mind my handwriting..

Hope it helps u mam..

Attachments:
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>

Mark as Brainlist

Attachments:
Similar questions
Math, 2 months ago