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ICSE Class 9 Answered

P is a point on a circle with centre O. if P is equidistant from the two radii OA and OB, prove that arc AP= arc BP.
Asked by pereiracalida | 14 Jan, 2018, 07:24: PM
answered-by-expert Expert Answer
begin mathsize 16px style Join space straight O space and space straight P. In space increment OAP space and space increment OBP OA equals OB space space space space space space space space space space space space space space space space space space space space space space space space space radii AP equals PB space space space space space space space space space space space space space space space space space space space space space space space space space space straight P space is space equidstant space from space straight A space and space straight B OP equals OP space space space space space space space space space space space space space space space space space space space space space space space space space Common space side increment OAP space approximately equal to space increment OBP space space space space space space space space space space SSS space test angle POA equals angle POB space space space space space space space space space space space straight c. straight a. straight c. straight t arc space AP equals arc space PB space space space space space space space space space space central space angles space are space equal space then space subtended space arcs space are space equal. end style
Answered by Sneha shidid | 15 Jan, 2018, 12:32: PM

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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
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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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