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

In the figure, BAE=60 and CAF=80, then BDA is


A
30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
80
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
60
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
50
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 60

Let "O" be the centre of the circle and OA, OB are the radii of the circle

Then OAE=90, Because tangent on a circle is perpendicular to its radius.
OAB=9060=30
OBA=OAB (Since OA and OB are equal.)
Then BOA=180(30+30)=18060=120 (Sum angle in the triangles is 180)
Then BDA=1202=60 (The angle at the centre is twice the angle at the circumference.)


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Summary
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon