Intersected by a line L at A- B- C and D- ThenA- A B-C DB- A B CDD- AB - BP

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Byju's Answer

Standard IX

Mathematics

Chord Theorem 2

intersected b...

Question

Two concentric circles are intersected by a line L at A, B, C and D. Then

AB < CD

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AB = BP

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AB = CD

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AB > CD

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Solution

The correct option is C
AB = CD

Let OP be perpendicular to line L.

Perpendicular from the centre of a circle to the chord bisects the chord.

BP = PC (i) (OP is perpendicular to chord BC)

AP =PD (ii) (OP is perpendicular to chord AD)

Subtracting (i) from (ii) you get

AP – BP = PD – PC

Or AB = CD

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Two concentric circles are intersected by a line L at A, B, C and D. Then

The correct option is C AB = CDLet OP be perpendicular to line L. Perpendicular from the centre of a circle to the chord bisects the chord. BP = PC (i) (OP is perpendicular to chord BC) AP =PD (ii) (OP is perpendicular to chord AD) Subtracting (i) from (ii) you get AP – BP = PD – PC Or AB = CD