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ICSE Class 9 Answered

If a diameter of  a circle bisects each of the two chords of a circle, then prove that the chords are equal.
Asked by pereiracalida | 10 Jan, 2018, 06:51: PM
answered-by-expert Expert Answer
 
Your question is incorrect. It should be as follows:
If a diameter of  a circle bisects each of the two chords of a circle, then prove that the chords are equal.
 
begin mathsize 16px style AB space and space CD space are space two space equal space chords space of space straight a space circle space with space centre space straight O. PQ space is space straight a space diameter space bisecting space chords space AB space and space CD space at space straight M space and space straight N space respectively. Now comma space the space line space joining space the space centre space of space straight a space circle space to space the space mid minus point space of space straight a space chord space is space perpendicular space to space the space chord. rightwards double arrow OM perpendicular AB space and space ON perpendicular CD rightwards double arrow angle AMO equals 90 degree space and space angle DNO equals 90 degree rightwards double arrow angle AMO equals angle DNO But space these space are space alternate space angles. rightwards double arrow Chords space AB space and space CD space are space parallel space to space each space other. end style
 
Answered by Rashmi Khot | 11 Jan, 2018, 09:19: 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
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
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ICSE 9 - Maths
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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
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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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