CBSE Class 9 Answered
If two intersecting chord of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.
Asked by Topperlearning User | 07 Feb, 2014, 12:36: PM
Expert Answer
Let AB and CD be the two chords.
Construct OM AB and ON CD
In OME and ONE,
1 = 2 (given)
OME = ONE = 90o
OE = OE (common)
By AAS congruence rule,
OM = ON (c.p.c.t)
Hence, AB = CD
(Since, chords equidistant from the centre are equal)
Answered by | 07 Feb, 2014, 02:36: PM
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