Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
be a regular hexagon inscribed in a unit circle with centre at the origin. Then the product of the lengths of the line segments 
and 
is-
A
B
C
3
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let O be the centre of the circle of unit radius and the coordinates of 
be 
.
Since each side of the regular hexagon makes an angle of 60 0 at the centre O.
Coordinates of 
are (cos 60 0 , sin 60 0 ) = 
are (cos 120°, sin 120 0 ) = 
are (–1, 0)
are 
and A 5 are 
Now 
= 
= 
= 1
= 
= 
= 
= 
So that 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If the straight line is outside the circle then
The locus of the middle points of those chords of the circle which subtend a right angle at the or…
If circles and touch each other, then
There are two circles whose equations are and If the two circles have exactly two common tangents…
The equation of the circle through the points of intersection of the circles
and with its centre …
The equation of the image of the circle by the line mirror is