Question

1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centres is 4 cm. Find the length of the common chord.
plzz help me friend's​

Answer 1

Answer:

Let O and O' be the centres of the circle of radii 5 cm and 3 cm respectively and let PQ be their common chord

OP=5 cm, O

 P=3 cm, OO  

′

=4 cm

Let OL=x,  

So, LO  

′

=4−x

Let PQ=x,

So, PL=  

2

y

​

 

In right △OLP

OL  

2

=OP  

2

−LP  

2

 

x  

2

=5  

2

−(  

2

y

​

)  

2

 

x  

2

2=25−  

4

y  

2

 

​

(i)

In right △O  

′

LP

O  

′

L  

2

=OP  

2

−LP  

2

 

(4−x)  

2

=3  

2

−(  

2

y

​

)  

2