CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The locus of the middle points of those chords of the circle x2+y2=4 which subtend a right angle at the origin is


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C


Let the mid-point of chord is (h,k). Also radius of circle is 2. Therefore

OCOB=cos 45oh2+k22=12h2+k2=2

Hence locus is x2+y2=2


flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
Join BYJU'S Learning Program
Select...
similar_icon
Related Videos
thumbnail
lock
Section Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...