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NCERT Solutions For Class 9 Maths Chapter Circles. In any triangle ABC, if the angle bisector of ? A and. perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC. Solution: Consider this diagram. Here, join BE and CE. Now, since AE is the bisector of ? BAC, ? BAE = ?CAE Also. NCERT Solutions For Class 9 Maths Chapter Circles Now, draw a perpendicular BM ? AC. Since AB = BC, ABC can be considered as an isosceles triangle. M is mid-point of AC. BM is the perpendicular bisector of AC and thus it passes through the centre of the circle. NCERT Solutions For Class 9 Maths Chapter Circles. Here, OM ? AB and ON ? CD. is drawn and OB and OD are joined. We know that AB bisects BM as the perpendicular from the centre bisects chord. Since AB = 5 so, BM = AB/2. Similarly, ND = CD/2 = 11/2. Now, let ON be x. So, OM = 6? x. onsider ?MO, OB. 2 = OM. 2 + MB. 2. Or, onsider ?NOD, OD. 2 = ON 2 + ND 2. Or.
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