wiz-icon
MyQuestionIcon
MyQuestionIcon
6
You visited us 6 times! Enjoying our articles? Unlock Full Access!
Question

The perpendicular drawn from the centre of the circle to a chord divides the chord in the ratio .

A
2:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1:2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1:1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is C 1:1
Consider the above circle where OM is given to be perpendicular to AB.
Then, OMA=OMB=90.
Also, OA = OB = radius of the circle.
And, OM = OM (Common).
Thus, by RHS congruency criterion, OMAOMB.
AM=BM by C.P.C.T.
In other words, the perpendicular drawn from the centre of a circle to a chord bisects the chord.
i.e., the perpendicular drawn from the centre of a circle to a chord divides the chord in the ratio 1:1.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equal Chords of a Circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon