In the adjoining figure, 'O' is the cent...

In the adjoining figure, 'O' is the centre of the circle. `OL` and `OM` are perpendiculars from O to the chords AB and BC respectively. If `OL=OM` and `AB=16 cm`, then find the length of BC.

Text Solution

Verified by Experts

The correct Answer is:

16 cm

NA

Topper's Solved these Questions

CIRCLE
NAGEEN PRAKASHAN|Exercise Exercise 10b|19 Videos
CIRCLE
NAGEEN PRAKASHAN|Exercise Exercise 10c|20 Videos
CIRCLE
NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions )|5 Videos
AREA OF PARALLELOGRAMS AND TRIANGLES
NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Question)|5 Videos
CO-ORDINATE GEOMETRY
NAGEEN PRAKASHAN|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, O is the centre of the circle. AB and CD are equal chords. If /_AOB =100^(@) , then find /_CED .

In the adjoining figure, O is the centre of the circle. AB is an arc of the circle and /_AOB=80^(@) . Find /_ACB .

In the adjoining figure O is the centre of the circle . If chord AB=2 cm radius OA=2 cm, then find the value of angle ACB .

.In given figure OC is perpendicular segment drawn from centre O to chord AB. If OB=5 cm and OC= 3cm then find the length of AB

In the adjoining figure, O is the centre of the circle and AB is its diameter. If AC=8 cm and BC= 6cm, then find the radius of the circle.

In the adjoining figure, O is the centre of a circle in which AB and CD are two diameters. Prove that AC|\ |BD and AD|\ |BC . If angleOBD =50^@ , then find the value of angleAOC .

In the adjoining figure, O is the centre of the circle. If the chord AB is equal to the radius of the circle, then find the value of angleADB .

In the figure given above, O is the centre of the circle OA = 3 cm, AC = 3 cm and OM is perpendicular to AC. What is angleABC equal to ?

In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point p within the circle. If AB = 15 cm, PB = 9 cm, then find the length of PD.

NAGEEN PRAKASHAN-CIRCLE -Exercise 10a

The radius of a circle is 10 cm and the perpendicular form the centre ...
Text Solution
|
(i) Find the length of a chord which is at a distance of 12 cm from th...
Text Solution
|
A chord of length 24 cm is at a distance of 5 cm form the centre of th...
Text Solution
|
In the adjoining figure, AP=8cm, BP=2cm and angle CPA=90^@. Find the l...
Text Solution
|
The height of circular arc ACB is 0.6 m. if the radius of circle is 3m...
Text Solution
|
In the adjoining figure, 'O' is the centre of the circle. OL and OM ar...
Text Solution
|
In the adjoining figure,O is the centre of two concentric circles. The...
Text Solution
|
The length of common chord of two circles is 30 cm. if the diameters o...
Text Solution
|
In the adjoining figure, chord AB= chord PQ. If angleOBA=55^@, then fi...
Text Solution
|
Show that if two chords of a circle bisect one another they must be ...
Text Solution
|
Two congruent circles intersect each other at points A and B. Through...
Text Solution
|
If the two equal chords of a circle intersect : (i) inside (ii) on...
Text Solution
|
prove that the line joining the mid-point of two equal chords of a ...
Text Solution
|
Two circles itnersect each other in two points. Prove that the line th...
Text Solution
|
Two parallel chords of a circle , 12 cm and 16 cm long are on the sam...
Text Solution
|
The diameter of a circle is 20 cm. There are two parallel chords of le...
Text Solution
|
In the adjoining figure ,AB and CD are two parallel chords of a circle...
Text Solution
|
The length of two parallel chords of a circle are 6 cm and 8 cm . The ...
Text Solution
|
What happen to area of circle, if its radius is doubled?
Text Solution
|
Name the shape shown in centre of our national flag. In how many parts...
Text Solution
|