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Point P (2, -7) is the Centre of a Circle with Radius 13 Unit, Pt is Perpendicular to Chord Ab and T = (-2, -4); Calculate the Length Of: Ab. - Mathematics

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Question

Point P (2, -7) is the centre of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of AB.

Sum
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Solution

We know that the perpendicular from the center of a circle to a chord bisects the chord.
∴ AB = 2AT
= 2 x 12 units
= 24 units.

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Chapter 28: Distance Formula - Exercise 28 [Page 335]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 28 Distance Formula
Exercise 28 | Q 22.2 | Page 335

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