Question

# Which of the following statements are true?

A
Maximum length of the chord is 3 times radius.
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B
Shortest distance of the chord from the centre is the perpendicular from the centre.
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C
Perpendicular from the centre of a circle bisects the chord.
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D
Angle subtended by a chord at the major segment is twice the angle subtended at the centre.
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Solution

## The correct options are B Shortest distance of the chord from the centre is the perpendicular from the centre. C Perpendicular from the centre of a circle bisects the chord.Option A is wrong as the longest chord in a circle is the diameter which is 2 times the radius. Option B is correct because the shortest distance between any point and a line is the perpendicular distance of the line from the point. Option C is correct. Perpendicular from the centre of a circle bisects the chord(Theorem). Option D is wrong as angle subtended at the center by a chord is twice the angle subtended at the major segment.

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