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Two concentric circles of radii a and b, where a > b, are given. The length of a chord of the larger circle which touches the other circle is
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two concentric circles of radii a and b, where a > b, are given. Th...
In figure, AB is a chord of circle C1 which is a tangent to C2.
Since, tangent is perpendicular to radius through point of contact
∴ ∠OCA = 90° ⇒ OA = a, OC = b
In ∆OCA, (OA)2 = (OC)2 + (AC)2
⇒ a2 = b2 + (AC)2 ⇒ AC =
∴ Length of chord AB = 2AC = 2
Since, tangent is perpendicular to radius through point of contact
∴ ∠OCA = 90° ⇒ OA = a, OC = b
In ∆OCA, (OA)2 = (OC)2 + (AC)2
⇒ a2 = b2 + (AC)2 ⇒ AC =
∴ Length of chord AB = 2AC = 2
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Two concentric circles of radii a and b, where a > b, are given. The length of a chord of the larger circle which touches the other circle isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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