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ICSE Class 9 Answered

In the given figure, P is the midpoint of arc APB and M is the midpoint of chord AB of a circle with centre O. Prove that: (i) PM⊥AB (ii) PM  produced  will pass through the centre O (iii) PM produced will bisect the major arc AB
Asked by pereiracalida | 14 Jan, 2018, 07:18: PM
answered-by-expert Expert Answer
begin mathsize 16px style According space to space the space question space straight P space and space straight M space are space mid space points space of space arc space APB space and space chord space AB respectively. Join space straight M space and space straight P. left parenthesis straight i right parenthesis space As space both space are space midpoints space PM perpendicular AB. space space space space space space space space left parenthesis ii right parenthesis space PM perpendicular AB space it space pasess space through space centre space straight O. Bisector space of space the space chord space is space always space perpendicular space to space the space chord space and space it space pasess space through space centre. left parenthesis iii right parenthesis space PM space produced space will space bisect space the space major space arc space AB space as space it space pasess space through space centre space of space the space circle. end style
Answered by Sneha shidid | 16 Jan, 2018, 11:26: AM

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ICSE 9 - Maths
Two parallel chords are drawn in a circle of diameter 300 cm. The length of one chord is 24.0 cm and the distance between the two chords is 21.0 cm; find the length of the other chord.
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ICSE 9 - Maths
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ICSE 9 - Maths
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ICSE 9 - Maths
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ICSE 9 - Maths
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Asked by pereiracalida | 17 Jan, 2018, 11:00: PM
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ICSE 9 - Maths
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Asked by pereiracalida | 17 Jan, 2018, 10:47: PM
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ICSE 9 - Maths
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Asked by pereiracalida | 17 Jan, 2018, 10:33: PM
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ICSE 9 - Maths
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ICSE 9 - Maths
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ICSE 9 - Maths
In the given figure, two chords AC and BD of a circle intersect at E. if arc AB = arc CB, prove that BE = EC and AE = ED
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