# Perpendicular From Centre To Chord Free Doubts and Solutions

### CBSE - IX - Mathematics - Circles

## 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.

**sambitgenius2005**24th April 2019, 8:03 PM

### CBSE - IX - Mathematics - Circles

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

**md775016**2nd February 2018, 9:58 AM

### CBSE - IX - Mathematics - Circles

## 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 ?

**Vikas**11th January 2018, 9:07 AM

### CBSE - IX - Mathematics - Circles

## An isosceles triangle is inscribed in a circle. If AB=AC=12root5 cm and BC=24 cm, find the radius of the circle

**adityaahuja099**2nd December 2017, 9:26 AM

### CBSE - IX - Mathematics - Circles

## Please solve question no 9 with proper explanation

**adityaahuja099**16th November 2017, 8:19 PM

### CBSE - IX - Mathematics - Circles

## Please solve question no 6 with proper explanation

**adityaahuja099**16th November 2017, 8:17 PM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**18th August 2017, 9:07 AM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**18th August 2017, 9:06 AM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**18th August 2017, 9:04 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**18th August 2017, 9:03 AM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**18th August 2017, 8:58 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**18th August 2017, 8:58 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**18th August 2017, 8:56 AM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**18th August 2017, 8:56 AM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**18th August 2017, 8:55 AM

### CBSE - IX - Mathematics - Circles

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

**Topperlearning User**18th August 2017, 8:54 AM

### CBSE - IX - Mathematics - Circles

##
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.

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.

**gpnkumar0**7th March 2017, 6:58 PM

### CBSE - IX - Mathematics - Circles

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

**drishtisapra82**8th March 2016, 11:41 AM

### CBSE - IX - Mathematics - Circles

## 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.

**dimplesharma0810**6th March 2016, 10:40 PM

### CBSE - IX - Mathematics - Circles

## 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

**somendra_nath**16th February 2016, 9:30 PM

### CBSE - IX - Mathematics - Circles

## 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.

**shub3893**3rd December 2015, 8:47 PM

### CBSE - IX - Mathematics - Circles

## 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.

**sujaysarkar84**9th March 2015, 5:35 PM

### CBSE - IX - Mathematics - Circles

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

**ashokkushwaha12**27th February 2015, 1:26 PM

### CBSE - IX - Mathematics - Circles

## Please answer this question

**ashokkushwaha12**25th February 2015, 11:34 PM

### CBSE - IX - Mathematics - Circles

## 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?

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

### CBSE - IX - Mathematics - Circles

## 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.

**Jerlin George**4th January 2015, 3:34 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Jerlin George**4th January 2015, 3:25 PM

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**26th December 2014, 2:28 PM

### CBSE - IX - Mathematics - Circles

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

**indu303**24th December 2014, 4:56 PM

### CBSE - IX - Mathematics - Circles

## 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.

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

### CBSE - IX - Mathematics - Circles

## 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.

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

### CBSE - IX - Mathematics - Circles

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

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

### CBSE - IX - Mathematics - Circles

## 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.

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

### CBSE - IX - Mathematics - Circles

## 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.

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

### CBSE - IX - Mathematics - Circles

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

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

### CBSE - IX - Mathematics - Circles

## 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.

**Topperlearning User**14th February 2014, 2:05 PM