CBSE Class 10 Answered
Circles
Asked by | 26 Feb, 2009, 02:27: PM
Expert Answer
OP2= PT2+ r2 (By pythagora's theorem)
PT2 = OP2-r2
OP2= OD2 + PD2
= r2- x2 + (PA + x)2
PT2 = r2- x2 + (PA + x)2-r2
= PA2 +2PA.x
= PA (PA + 2x)
2x = AB
PT2 = PA. (PA+AB)
= PA.PB
Hence Proved.
Answered by | 27 Feb, 2009, 09:38: AM
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