Q. 115.0( 3 Votes )

The length of the

Answer :

Given:


OA = 6 cm


OB = 8 cm



Property: The tangent at a point on a circle is at right angles to the radius obtained by joining center and the point of tangency.


By above property, ∆AOB is right-angled at OAB (i.e., OAB = 90°).


Therefore by Pythagoras theorem,


OA2 + AB2 = OB2


AB2 = OB2 – OA2


AB2 = 82 – 62


AB2 = 64– 36


AB2 = 28


AB= √28


AB= 2√7


Hence, length of tangent is 2√7 cm.

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