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sreehari
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AB and CD are two chords which intersect in a point O 21 Mar 2008, 22:04
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AB and CD are two chords which intersect in a point O outside the circle. The length of AB = 6 sm, BO = 4, DO = 5. What is the length of CO?

(A) 4
(B) 8
(C) 10
(D) 12
(E) 20



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AB and CD are two chords which intersect in a point O 21 Mar 2008, 22:26
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It is B 8

When two chords intersect at a point o then,power of a point comes into picture

using power of a point

OB.OA=OD.OC => 4.10=5.OC

thus OC=8
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AB and CD are two chords which intersect in a point O 21 Mar 2008, 22:38
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prasannar
It is B 8

When two chords intersect at a point o then,power of a point comes into picture

using power of a point

OB.OA=OD.OC => 4.10=5.OC

thus OC=8
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can you please explain this "power of a point"?
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prasannar
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AB and CD are two chords which intersect in a point O 21 Mar 2008, 22:44
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Power of a point theorem https://www.cut-the-knot.org/pythagoras/PPower.shtml
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sondenso
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AB and CD are two chords which intersect in a point O 22 Mar 2008, 19:51
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prasannar
Power of a point theorem https://www.cut-the-knot.org/pythagoras/PPower.shtml
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:thanks



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