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A line segment through a point P cuts a given circle in 2 points A&B such that PA = 16 and PB = 9, find the lengths of tangents from points to the circle 7 25 12 18

A line segment through a point P cuts a given circle in 2 points A&B such that PA = 16 and PB = 9, find the lengths of tangents from points to the circle 
  1. 7
  2. 25
  3. 12
  4. 18

Grade:12

5 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
9 years ago
Hi Student

There is direct relation for this
PA*PB = PT2
where p is the external point
PT is tangent and PA and PB are secants cutting at A and B repectively

From this relation PT =12 after substituing the values
Aziz Alam IIT Roorkee
askIITians Faculty 232 Points
9 years ago
PA.PB=PT2

Hence the length of the tangenth is

PT=12
Vikrant Prasad
33 Points
9 years ago
Thank You sir  
 
sajid
615 Points
8 years ago
2PA.PB=PT
from above relation we get pt=12
Shubhangi jain
15 Points
5 years ago
  From the relation ....
PA *PB =PT 2
Therefore √16 .√9=12ans.
Hence length of tangent is 12
here pb. Is 9
And pa is 16
 

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