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Home /Doubts and Solutions/CBSE/Class 9/Mathematics/Circles/Perpendicular From Centre To Chord

Perpendicular From Centre To Chord Free Doubts and Solutions

Q. Out of two concentric circles,the radius of the outer circle is 5 cm and the chord AC of length 8 cm is tangent to the inner circle.Find the radius of the inner circle.

Asked by sambitgenius2005 24th April 2019, 8:03 PM

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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 19th February 2018, 1:22 PM

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If two cicles intersect at two points then prove that their centers lie on the perpendicular bisector of a common chord

Asked by md775016 2nd February 2018, 9:58 AM

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AB and CD are 2 chords on the same side. AB = 12 cm , CD = 24cm.Distance between two parallel chords is 4 cm. FIND the radius of the circle ?

Asked by Vikas 11th January 2018, 9:07 AM

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Prove that the line joining the mid points of two parallel chords of a circle, passes through the centre of the circle.

Asked by Topperlearning User 18th August 2017, 9:07 AM

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In the given figure, the diameter CD of a circle with centre O is perpendicular to chord AB. If AB = 12 cm and CE = 3 cm, find the radius of the circle.

Asked by Topperlearning User 18th August 2017, 9:06 AM

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Two chords AB and CD of a circle are parallel and a line L is the perpendicular bisector of AB. Show that L bisects CD.

Asked by Topperlearning User 18th August 2017, 9:04 AM

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AB and CD are two parallel chords of a circle whose diameter is AC, prove that AB = CD.

Asked by Topperlearning User 18th August 2017, 9:03 AM

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Find the length of the chord which is at a distance of 4 cm from the center of a circle whose radius is 5 cm.

Asked by Topperlearning User 18th August 2017, 8:58 AM

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Find the length of the chord, which is at a distance of 3 cm from the centre of a circle of radius 5 cm.

Asked by Topperlearning User 18th August 2017, 8:58 AM

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Prove that the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

Asked by Topperlearning User 18th August 2017, 8:56 AM

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The radius of a circle is 5 cm and the length of a chord in the circle is 8 cm. Find the distance of the chord from the centre of the circle.

Asked by Topperlearning User 18th August 2017, 8:56 AM

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Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm. Find the distance between them if they lie on opposite sides of centre.

Asked by Topperlearning User 18th August 2017, 8:55 AM

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Show that there is one and only one circle passing through three non-collinear points.

Asked by Topperlearning User 18th August 2017, 8:54 AM

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Q and R are the centers of two congruent circles intersecting each other at points C and D. The line joining their centers intersects the circle in points A and B such that A and B do not lie between Q and R. If CD = 6 cm and AB = 12 cm, determine the radius of each circle and the distance between the centers of two circles.

Asked by gpnkumar0 7th March 2017, 6:58 PM

× Asked by Topperlearning User 29th April 2016, 2:46 PM

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There is one and only one circle passing through three non-collinear points.proof that

Asked by drishtisapra82 8th March 2016, 11:41 AM

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ABC is a right angle triangle, right angled at A. A circle is inscribed in it. The length of two sides containing angle A is 12 cm and 5 cm find the radius.

Asked by dimplesharma0810 6th March 2016, 10:40 PM

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In a circular park of radius 25 m,three girls Neha,Preeti and rashmi are sitting at equal distance on it's boundary each having a cell phone and talking to each other.Find the distance Neha and reshma

Asked by somendra_nath 16th February 2016, 9:30 PM

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if 2 equal chords of a circle intersect within the circle intersect within the circle. Prove that the line joining the points of intersection to the centre makes equal angles with the chords.

Asked by shub3893 3rd December 2015, 8:47 PM

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If two intersecting chors of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.

Asked by sujaysarkar84 9th March 2015, 5:35 PM

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If two chords AB and CD ofa a circle AYDZBWCX at right angles, prove that arc CXA + arc DZB = arc AYD + arc BWC = semicircle.

Asked by ashokkushwaha12 27th February 2015, 1:26 PM

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CBSE - IX - Mathematics - Circles

Asked by ashokkushwaha12 25th February 2015, 11:34 PM

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Find the lenght of the chord of a Circle which is at a distance of 4 cm from the centre of the circle with radius 5 cm?

Asked by Pruthvin N Batham 10th February 2015, 7:41 AM

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A circle with centre O in which diameter AB bisects the chord CD. If ED=EC=8cm and EB=4cm, find the radius of the circle.

Asked by Jerlin George 4th January 2015, 3:34 PM

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A, B, C, D are four points on a circle. AC and BD intersect at E such that BEC=140 and angle ECD=25, then find the measure of angle BAC.

Asked by Jerlin George 4th January 2015, 3:25 PM

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In a circle of radius 5 cm, AB and CD are two parallel chords of lengths 8 cm and 6 cm respectively. Find the distance between the chords if they are (i) on the same side of the centre. (ii) on the opposite sides of the centre.

Asked by Topperlearning User 26th December 2014, 2:28 PM

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prove that the perpendicular bisectors of two chords of a cirlce intersect at its centre.

Asked by indu303 24th December 2014, 4:56 PM

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In fig., O is the center of the circle of radius 5 cm. OP AB, OQ CD, AB||CD. = 6 cm, = 8 cm. Determine PQ.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Two circles of radii 10 cm and 8 cm intersect each other at two points, and the length of the common chord is 12 cm. Find the distance between their centers.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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In a circle of radius 5 cm, AB and AC are two chords such that AB = AC = 6 cm. Find length of chord BC.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Two circles of radii 10 cm and 17 cm intersect at two points and distance between their centers is 21 cm. Find the length of the common chord.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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In a circle of radius 5 cm, NG and AG are two chords such that NG = AG = 6 m. Find the length of the chord AN.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Prove that the perpendicular from the centre of the circle to a chord bisects the chord.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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AB and CD are two parallel chords of a circle such that AB = 12 cm and CD = 24 cm. The chords are on the opposite sides of the centre and the distance between them is 17 cm. Find the distance between them.

Asked by Topperlearning User 14th February 2014, 2:05 PM