CBSE Class 10 Answered
Two circles intersect each other at A and B. One of them passes through the center O of the other. AT is a tangent at A to the circle which passes through O. Prove that AO bisects angleBAT.
Asked by rushabhjain.avv | 30 Jan, 2019, 08:15: PM
Expert Answer
O'A=O'O.....radii of the same circle
So, we have angle O'AO =O'OA=x......isosceles triangle theorem
now tangent perpendicular to the radius
angle O'AT=90
so angle OAT = 90 - x..........(1)
OO' will be perpendicular to AB, since O is equidistant from A and B, OA = OB radii of the same circle
so in that triangle
angle OAB= 90 - x............(2)
from (1) and (2)
angle OAT = angle OAB
Answered by Arun | 01 Feb, 2019, 11:18: AM
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