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CBSE Class 9 Answered

1)AB IS A DIAMETER OF A CIRCLE WITH CENTRE O.CD IS A CHORD EQUAL TO THE RADIUS OF THE CIRCLE.AC AND BD WHEN EXTENDED INTERSECT AT POINT E.PROVE THAT ANGLE AEB=60 DEGREE.(HINT-JOIN OC,OD AND BC)
Asked by vrishti TOKAS | 12 Jan, 2016, 12:47: PM
answered-by-expert Expert Answer
begin mathsize 14px style I n space triangle O C D comma O C equals O D equals C D space space space space space left parenthesis E a c h space e q u a l space t o space r a d i u s right parenthesis T h u s comma space triangle O C D thin space i s space a n space e q u i l a t e r a l space t r i a n g l e. rightwards double arrow angle C O D equals 60 degree N o w comma angle C B D equals 1 half angle C O D rightwards double arrow angle C B D equals 30 degree S i n c e space angle A C B space i s space a n g l e space i n space a space s e m i minus c i r c l e comma space angle A C B equals 90 degree rightwards double arrow angle B C E equals 180 degree minus angle A C B equals 180 degree minus 90 degree equals 90 degree T h u s comma space i n space triangle B C E comma angle B C E equals 90 degree space a n d space angle C B E equals angle C B D equals 30 degree rightwards double arrow angle B C E plus angle C B E plus angle C E B equals 180 degree rightwards double arrow 90 degree plus 30 degree plus angle C E B equals 180 degree rightwards double arrow 120 degree plus angle C E B equals 180 degree rightwards double arrow angle C E B equals 180 degree minus 120 degree equals 60 degree rightwards double arrow angle A E B equals 60 degree end style
Answered by Rashmi Khot | 12 Jan, 2016, 02:42: PM
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