Question
Download Solution PDFIn the figure given below, AB and CD are two chords that intersect at O outside the circle. If AB = 2 cm, OB = 5 cm and OD = 3.5 cm, then find the length of CD.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
AB = 2 cm, OB = 5 cm and OD = 3.5 cm
Property:
When two chords AB and CD intersect outside a circle at a point O, then,
OA × OB = OC × OD
Applying the same
⇒ (AB + OB) × OB = OC × OD
⇒ 7 × 5 = OC × 3.5
⇒ OC = 35/3.5 = 10
⇒ CD = OC – OD = 10 – 3.5 = 6.5 cm
Last updated on Jul 19, 2025
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