1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

Ask Properties Of Equal Chords question free ×
• CBSE×
• Class 9×
• Mathematics×
• Circles×
• Properties Of Equal Chords×

# Properties Of Equal Chords Free Doubts and Solutions

## BE and CD are two equal chords of circle with centre O. These chords when produced meet at E. Prove that BE = ED .

Asked by Vikas 11th January 2018, 9:10 AM

×

## 1.In the figure, OD is perpendicular to chord AB of a circle whose centre is O. If BC is diameter; prove that CA = 2OD. 2.   l is a line intersecting two concentric circles having common centre O, at A, B, C and D. Prove that AB = CD. 3.   AB and CD are equal chords of a circle whose centre is O. When produced, these chords meet at E. Prove that EB = ED. 4.   If O be the centre of the circle, find the value of ï¿½xï¿½ in each of the following figures. 5.   Prove that equal chords of a circle subtend equal angles at the centre. 6.   The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. Prove it. 7.   Prove that equal chords of a circle (or congruent circles) are equidistant from the centre (or centres). 8.   In the figure, OD is perpendicular to the chord AB of a circle with centre O. If BC is a diameter, show that AC || OD and AC = 20D.            Hint: ∴ OD ⊥ AB               therefore; D is the mid-point of AB. 9.   If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal. 10.   Show that the angles in the same segment of a circle are equal.

Asked by aahnik.mohanty 30th December 2017, 10:21 AM

×

## O is the centre of the circle, find the value of x.

Asked by Topperlearning User 5th October 2017, 8:25 AM

×

## In the figure, O is the centre of a circle. Prove that x + y = z.

Asked by Topperlearning User 5th October 2017, 8:24 AM

×

## O is the centre of the circle and PQ is a diameter. If ROS is equal to 40o find RTQ.

Asked by Topperlearning User 5th October 2017, 8:22 AM

×

## P is the centre of the circle. Prove that XPZ is equal to twice the sum of XZY and YXZ.

Asked by Topperlearning User 5th October 2017, 8:17 AM

×

## Prove that the angle in the minor segment is an obtuse angle.

Asked by Topperlearning User 5th October 2017, 8:15 AM

×

## In the given figure, equal chords AB and CD of a circle C(O, r) cut at right angles at E. If M and N are the mid points of AB and CD respectively, prove that OMEN is a square.

Asked by Topperlearning User 18th August 2017, 8:51 AM

×

## AB and AC are two equal chords of a circle whose centre is O. If OD is perpendicular to AB and OE is perpendicular to AC, prove that ADE is an isosceles triangle.

Asked by Topperlearning User 18th August 2017, 8:49 AM

×

## PQ and RQ are the two chords of a circle equidistant from the centre O. Prove that the diameter passing through Q bisects PQR and PSR.

Asked by Topperlearning User 18th August 2017, 8:40 AM

×

## TWO EQUAL CHORDS AB AND CD OF A CIRCLE WHEN PRODUCED INTERSECT AT A POINT P.PROVE THAT PB=PD.

Asked by vrishti TOKAS 22nd February 2016, 8:09 PM

×

## Q1. Prove that the quadrilateral formed by the internal angle bisectors of any quadrilateral is cyclic ?   Q2. AB is a diametre of the circle ,CD is a chord equal to radius of the circles ,AC and BD when extended intersect at point E. Prove that angle AEB=60 ?   Q3. A chord of a circle is equal to radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on a major arc ?   Q4. If the non-parallel sides of a trapezium are equal ,prove it is cyclic ?

Asked by shub3893 3rd December 2015, 8:56 PM

×

## Given is AB the diameter of circle and CD is a chord equal to the radius of the circle. AC & BD when extended intersect at a point E.Then Prove that Angle AEB = 60.

Asked by singhaivk05 25th February 2015, 5:33 PM

×

×

## Two equal chords AB and CD of a circle when produced, intersect at point P. Prove that PB = PD.

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

×

## In the figure, O is the centre of the circle, OM BC, OL AB, ON AC and OM = ON = OL. Is ABC equilateral? Given reasons.

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

×

## In the figure A, B and C are three points on a circle such that the angle subtended by the chords AB and AC at the centre are 120o and 80o respectively. Determine angle BAC.

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

×

## If two intersecting chords PQ and RS of a circle make equal angles with the diameter passing through their point of intersection, then prove that the chords are equal.

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

×

### CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 11th February 2014, 9:10 AM

×

### CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 7th February 2014, 4:10 PM

×

## Two equal chords of a circle intersect within the circle; prove that the line joining the point of intersection to the centre makes equal angles with the chords.

Asked by Topperlearning User 7th February 2014, 3:55 PM

×

## Two congruent circles interest each other at points A and B. Through point A, line segment PAQ is drawn so that P and Q lie on the two circles. Prove that BP = BQ.

Asked by Topperlearning User 7th February 2014, 12:39 PM

×

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

Asked by Topperlearning User 7th February 2014, 12:36 PM

×

## In the figure, AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD respectively. If POQ = 150o, find APQ.

Asked by Topperlearning User 7th February 2014, 12:35 PM

×

## The two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection. Prove that the chords are equal.

Asked by Topperlearning User 7th February 2014, 12:33 PM