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ICSE Class 9 Answered

In the given figure, L and M are midpoints of two equal chords AB and CD of a circle with centre O. Prove that: (i) angle OLM = angleOML (ii)angle ALM = angle CML
Asked by pereiracalida | 14 Jan, 2018, 06:48: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style Since space straight L space and space straight M space are space the space midpoints space of space chords space AB space and space CD space respectively comma OL perpendicular AB space and space OM perpendicular CD But comma space equal space chords space of space straight a space circle space areequidistant space from space the space centre rightwards double arrow OL equals OM In space triangle space OLM comma OL equals OM rightwards double arrow angle OLM equals angle OML rightwards double arrow 90 degree minus angle OLM equals 90 degree minus angle OML rightwards double arrow angle ALO minus angle OLM equals angle CMO minus angle OML rightwards double arrow angle ALM equals angle CML end style
Answered by Rashmi Khot | 15 Jan, 2018, 11:05: 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.
Asked by siddeshmankar90.9spicertl | 06 Feb, 2021, 02:16: PM
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ICSE 9 - Maths
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm ar drawn. Find the distance between the chords if both the chords are  (i) on the opposite sides of the centre (ii) on the same side of the centre .,:,entre.
Asked by siddeshmankar90.9spicertl | 06 Feb, 2021, 01:57: PM
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ICSE 9 - Maths
in a circle of radius 17cm ,two parallel chords of lenghts 30cm and 16 cm are drawn. Find the distance between the chords, iif both the chords are on the opposite sides of a circentre and onthe same side of the circle
Asked by sharmasukhjinder7 | 10 Jan, 2020, 11:55: AM
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ICSE 9 - Maths
Class 9 project on circle cm graph  
Asked by Sumitavbeyond | 29 Jan, 2018, 06:17: PM
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ICSE 9 - Maths
In the given figure, angle DBC = 58 and BD ia a diameter of the circle. find (i) angle BDC (ii) angle BEC (iii) angle BAC
Asked by pereiracalida | 17 Jan, 2018, 11:00: PM
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ICSE 9 - Maths
In the figure, AB is parallel to DC, angle BCE = 80 and angle BAC = 25. Find (i) angle CAD (ii) angle CBD (iii) angle ADC
Asked by pereiracalida | 17 Jan, 2018, 10:47: PM
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ICSE 9 - Maths
In the given figure,O is the centre of the circle, angle AOB = 30 and angle OCB= 40 calculate angle AOC
Asked by pereiracalida | 17 Jan, 2018, 10:33: PM
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ICSE 9 - Maths
in the given figure ABCDE id a pentagon inscribed in a circle. If AB=BC=CD, angle BCD= 110 and angle BAE= 120 find (i) angle ABC (ii) angle CDE (iii) angle AED (iv) angle EAD
Asked by pereiracalida | 14 Jan, 2018, 07:36: PM
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ICSE 9 - Maths
In the given figure two chords AB and CD of a circle intersect at a point P. If AB = CD, prove that arc AD = arc CB
Asked by pereiracalida | 14 Jan, 2018, 07:29: PM
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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
Asked by pereiracalida | 14 Jan, 2018, 07:26: PM
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