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प्रश्न
The line joining the mid-points of two chords of a circle passes through its centre, then the chords are ______.
पर्याय
not parallel to each other
equal to each other
parallel to each other
not equal to each other
MCQ
रिकाम्या जागा भरा
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उत्तर
The line joining the mid-points of two chords of a circle passes through its centre, then the chords are parallel to each other.
Explanation:
- Let the two chords be AB and CD. The line segment joining their mid-points passes through the centre O of the circle.
- The line drawn from the centre of a circle to the mid-point of a chord is perpendicular to the chord. Therefore, the line passing through the centre and the mid-points is perpendicular to both chords.
- Since both chords are perpendicular to the same line passing through the centre, they must be parallel to each other.
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