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gugha priya

· started a discussion

· 1 Months ago

plz help (Question: 249154.0 )

team, how

Question:
The angle subtended by a chord at its centre is 60°, then the ratio of angle subtended at its bigger arc and smaller arc is —
Options:
A) 1 : 3
B) 3 : 1
C) 1 : 5
D) 5 : 1
Solution:
Ans: (c)

 

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
The given answer is correct.
Please refer the solution.

Theorem says that the Angle subtended by the arc at the center is twice at any other point on remaining part of the circle.
From here , x= 60/2 = 30 degree

And ACBD is a quadrilateral with all the sides touching the circle, therefore opposite angles will have a sum of 180 degree.
x+y=180
30+y=180
y=150

Asked ratio is angle at bigger to angle at smaller arc, therefore x:y
=30:150
= 1:5

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