Mathematics

The given figure shows two concentric circles and AD is a chord. The relation between AB and CD is :

The given figure shows two concentric circles and AD is a chord. The relation between AB and CD is : Circle, Concise Mathematics Solutions ICSE Class 9.
  1. AB = CD

  2. AB > CD

  3. AB < CD

  4. AB ≠ CD

Circles

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Answer

Draw OE ⊥ AD.

The given figure shows two concentric circles and AD is a chord. The relation between AB and CD is : Circle, Concise Mathematics Solutions ICSE Class 9.

We know that,

Perpendicular from center to chord, bisects the chord.

In smaller circle,

⇒ BE = EC ………..(1)

In larger circle,

⇒ AE = ED …………(2)

Subtracting equation (1) from (2), we get :

⇒ AE - BE = ED - EC

⇒ AB = CD.

Hence, Option 1 is the correct option.

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