CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two circles of radii 20 cm and 37 cm intersect in A and B. If O1 and O2 are their centres and AB=24 cm, then the distance O1O2 is equal to

A
44 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
51 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
40.5 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
45 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 51 cm
C is the mid-point of AB so that AC=12
AO1=37 and AO2=20 .....(Radii of circles)
Using Pythagoras theorem, we get
CO1=372122=35
CO2=202122=16
O1O2=35+16=51
Hence, option B is correct.

87611_92727_ans_fe9dbbc8d73341d7b822aad70b33e37f.png

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Two Circles Touching Internally and Externally
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon