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Ayushree
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Asked: 2026-08-13T05:06:23+00:00 In:

Let A be any point within a given circle with centre O. Show that the shortest chord of the circle that passes through point A is the one that is perpendicular to OA.

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For any chord through A, its length depends on its distance from O. The chord is shortest when this distance is greatest. This occurs when the chord is perpendicular to OA. Hence proved.

a be any point within a given circle with centre oclass 9 maths exercise 5 all solutions – i’m up and down and round and roundi’m up and down and round and round: solutions class 9 (ganita manjari)ncert solutions – i’m up and down and round and round (new book 2026-27)
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