A line drawn through the centre of a circle to bisect a chord is
AA tangent
BParallel to the chord
CCoincident with another diameter
DPerpendicular to the chord
Answer & Solution
Correct answer: D. Perpendicular to the chord
1. The line from centre to midpoint of a chord is perpendicular to that chord.
2. This is a standard converse of the chord-bisector theorem.
3. Hence option A.
_Source: syllabus Mathematics, Ch 10 "Circles", §10.3_
Keep practising Triangles and Circles
Browse all Triangles and Circles questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
Two circles touch each other externally at P. A common tangent at P meets another common tIn a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PA point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is Two parallel tangents are drawn to a circle of radius 8 cm. The distance between them isA tangent at point P of a circle of radius 5 cm is parallel to a chord 8 cm long. The distA circle touches all four sides of a quadrilateral ABCD with AB = 6, BC = 7, CD = 4. Then PA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius aTwo tangents from an external point to a circle of radius 6 cm have length 8 cm each. The