Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The angle between the chords of the circle x 2 + y 2 = 100, which passes through the point (7,1) and also divides the circumference of the circle intotwo arcs whose lengths are in the ratio 2 : 1, is equal to
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the chord is AB which subtends an angle 
at the centre (0,0)
Let the distance of O from AB = h
Then, cos 60° = 
Let the equation of the chord is 
mx - y + 1 - 7m = 0 whose distance from (0,0) is equal to 5
1-14m+49m 2 =25 + 25m 2
24m 2 - 14m - 24 = 0 
m 1 m 2 = -1
Chords are perpendicular
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