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Gujarat Class 10 Answered

P lies in exterior of ©(O, 5) such that OP=13.Two tangents are drawn to the circle which touch the circle in A and B.  Find AB
Asked by pandharinath.624 | 10 Mar, 2019, 11:53: PM
answered-by-expert Expert Answer
Let OM = x
then MP = 13 - x
In ΔPAO right angle at A.
using Pythagoras theorem
PA2 + AO2 = PO2
PA2 = 132 - 52
PA = 12 
In ΔAPM right angel at M
using Pythagoras
AM2 = -x2 + 26x - 25 ...(i)
In ΔAOM right angel at M
Using Pythagoras we get AM2 = 25 - x2 ....(ii)
Comparing (i) and (ii) we get x = 2.8
Answered by Sneha shidid | 12 Mar, 2019, 10:06: AM
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