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I) in the Given Figure 3 × Cp = Pd = 9cm and Ap = 4.5 Cm Find Bp. - Mathematics

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Question

i) In the given figure 3 × CP = PD = 9cm and AP = 4.5 cm Find BP. 

Solution

i) Since two chords AB and CD intersect each other at P.
∴ AP ×  PB =  CP × PD
 ⇒ 4.5 ×  PB =  3×9 (3CP = 9cm ⇒ CP = 3cm)
⇒ PB = `(3×9)/4.5`= 6 cm


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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 18: Tangents and Intersecting Chords
Exercise 18 (B) | Q: 1.1 | Page no. 283
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I) in the Given Figure 3 × Cp = Pd = 9cm and Ap = 4.5 Cm Find Bp. Concept: Arc and Chord Properties - If Two Chords Intersect Internally Or Externally Then the Product of the Lengths of the Segments Are Equal.
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