Exams › SSC CGL (Prelims) › General

A line drawn from the center of a circle bisects a chord. What is the angle between this line and the chord?

1. 30°
2. 45°
3. 90°
4. 60°

Correct answer: 90°

Solution

In a circle, the line joining the center to the midpoint of a chord is perpendicular to the chord. Therefore, the angle between the line and the chord is $90^\circ$.

Related SSC CGL (Prelims) General questions

• Two circles have radii 14 cm and 6 cm. If the length of a direct common tangent is 24 cm, what is the distance between their centers?
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• What is the area of the segment formed by a chord in a circle of radius 10 cm when the angle subtended at the centre is $120^\circ$?
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