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ICSE Class 9 Answered

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.
Asked by pereiracalida | 14 Jan, 2018, 06:40: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style AB space is space straight a space chord space of space straight a space circle space with space centre space straight O. PQ space is space perpendicular space bisector space of space chord space AB. Suppose space PQ space does space not space pass space through space straight O. Then comma space angle APO space is space straight a space part space of space angle APQ Since space PQ space is space perpendicular space bisector space of space AB rightwards double arrow angle APQ equals 90 degree space space space.... left parenthesis straight i right parenthesis Since space straight P space is space straight a space midpoint space of space AB space and space straight O space is space the space centre rightwards double arrow angle APO equals 90 degree space space space space... left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space get angle APO equals angle APQ This space is space straight a space contradiction. Hence comma space PQ thin space must space pass space through space centre space straight O. end style
Answered by Rashmi Khot | 15 Jan, 2018, 10:42: 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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