alleryA tangent at point P of a circle of radius 5 cm is parallel to a chord 8 cm long. The distance of the chord from the centre is
A5 cm
B4 cm
C3 cm
D8 cm
Answer & Solution
Correct answer: C. 3 cm
1. Tangent is parallel to chord, so perpendicular from centre to chord is along OP.
2. Half chord = 4; half chord squared + d squared = r squared, so 16 + d squared = 25.
3. d = 3 cm.
_Source: syllabus Mathematics, Ch 10 "Circles", §10.3_
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