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ICSE Class 9 Answered

If two chords of a circle are equally inclined to the diameter through their point of intersection, prove the chords are equal.
Asked by pereiracalida | 10 Jan, 2018, 06:52: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style According space to space question comma space the space figure space will space be space as space shown space above. AB space and space AC space are space two space chords space which space are space equally space inclined space to space the space diameter space AD space of space circle space with space centre space straight O. Construction colon space Draw space OL perpendicular AB space and space OM perpendicular AC In space triangles space OLA space and space OMA comma angle OLA equals angle OMA space space space space space left parenthesis Each space 90 degree right parenthesis OA equals OA space space space space space left parenthesis common right parenthesis angle OAL equals angle OAM space space space left parenthesis Given right parenthesis rightwards double arrow triangle OLA approximately equal to triangle OMA space space space space left parenthesis By space AAS space congruence right parenthesis rightwards double arrow OL equals OM space space space space left parenthesis CPCT right parenthesis rightwards double arrow Chords space are space equidstant space from space centre space straight O. rightwards double arrow AB equals AC end style
Answered by Rashmi Khot | 11 Jan, 2018, 09:38: 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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