If a line intersect two concentric circles, with center O at A,B,C and

1.	If a line intersect two concentric circles, with center O at A,B,C andD prove that AB=CD
Answer» GIVEN : A LINE intersects two concentric circles with centre 0 at A, B, C and D. To Prove: AB = CD. Construction: Draw OM⊥BC. Proof :The PERPENDICULAR drawn from the centre of a circle to a chord bisects the chord. Therefore , AM = DM............(1) BM = CM ...............(2) Subtracting (2) from (1), we get AM- BM = DM - CM AB = CD. Proven :)

If a line intersect two concentric circles, with center O at A,B,C andD prove that AB=CD

Answer»

GIVEN : A LINE intersects two concentric circles with centre 0 at A, B, C and D.

To Prove: AB = CD.

Construction: Draw OM⊥BC.

Proof :The PERPENDICULAR drawn from the centre of a circle to a chord bisects the chord.

Therefore ,

AM = DM............(1)

BM = CM ...............(2)

Subtracting (2) from (1), we get

AM- BM = DM - CM

AB = CD.

Proven :)

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If a line intersect two concentric circles, with center O at A,B,C andD prove that AB=CD ​

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If a line intersect two concentric circles, with center O at A,B,C andD prove that AB=CD