wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

AB and CD are two chords of a circle with centre O such that AB > CD. E and F are the midpoints of AB and CD respectively. Then:
Statement 1: OE > OF
Statement 2: AOB>COD

A
Both statement 1 and statement 2 are true.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Statement 1 is true, while statement 2 is false.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Statement 1 is false, while statement 2 is true.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Both statement 1 and statement 2 are false.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C Statement 1 is false, while statement 2 is true.
Given that chord AB is longer than chord CD, AB is closer to the centre of the circle than CD is. Since OE and OF are the distances of chords AB and CD respectively from the centre, OE < OF.

Also, longer the chord, greater the angle it subtends at the centre. Hence, AOB>COD.

Thus, statement 1 is false, while statement 2 is true.

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon