# Properties Of Equal Chords Free Doubts and Solutions

### CBSE - IX - Mathematics - Circles

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

**Vikas**11th January 2018, 9:10 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**5th October 2017, 8:25 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**5th October 2017, 8:24 AM

### CBSE - IX - Mathematics - Circles

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

^{o}find RTQ.

**Topperlearning User**5th October 2017, 8:22 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**5th October 2017, 8:17 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**5th October 2017, 8:15 AM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**18th August 2017, 8:51 AM

### CBSE - IX - Mathematics - Circles

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.

**Topperlearning User**18th August 2017, 8:49 AM

### CBSE - IX - Mathematics - Circles

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.

**Topperlearning User**18th August 2017, 8:40 AM

### CBSE - IX - Mathematics - Circles

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

**vrishti TOKAS**22nd February 2016, 8:09 PM

### CBSE - IX - Mathematics - Circles

## 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 ?

**shub3893**3rd December 2015, 8:56 PM

### CBSE - IX - Mathematics - Circles

## 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.

**singhaivk05**25th February 2015, 5:33 PM

### CBSE - IX - Mathematics - Circles

## Please Explain *NCERT Textbook*, **exercise 10.4 **, Q5 and Q6.

*NCERT Textbook*,

**exercise 10.4**, Q5 and Q6.

**Radha Pandey**5th January 2015, 1:29 PM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**7th February 2014, 3:55 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**7th February 2014, 12:39 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**7th February 2014, 12:36 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**7th February 2014, 12:35 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**7th February 2014, 12:33 PM