Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In a circle, three chords and subtend central angles of and respectively. Which of…
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
In a circle, three chords
M
N
,
N
P
MN,\;NP
M
N
,
N
P
and
P
Q
PQ
P
Q
subtend central angles of
65
∘
,
85
∘
65^{\circ},\;85^{\circ}
6
5
∘
,
8
5
∘
and
75
∘
75^{\circ}
7
5
∘
respectively. Which of the following lists these chords from longest to shortest? (a)
M
N
>
N
P
>
P
Q
MN>NP>PQ
M
N
>
N
P
>
P
Q
(b)
N
P
>
M
N
>
P
Q
NP>MN>PQ
N
P
>
M
N
>
P
Q
(c)
N
P
>
P
Q
>
M
N
NP>PQ>MN
N
P
>
P
Q
>
M
N
(d)
P
Q
>
N
P
>
M
N
PQ>NP>MN
P
Q
>
N
P
>
M
N
Related theory
Chord Properties
Circles
Equal chords and their distances
Browse the problem library