TSI and TPK are two secants drawn to the circle where T is a point outside the circle. What is the length of PK?
(1) TS = PK
(2) SI = 5 cms.
secants
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For secants from a common point:
TK*TP=TS*TI
Since, TK=TP + PK
also, TI=TS + SI
Therefore, TP ( TP + PK) = TS ( TS + SI)
1. TS = PK
Insufficient since we still have 3 unknowns.
2. SI=5
Insufficient, 3 unknowns
I tried simplifying the equation but couldn't get a solution even after combining statements 1 and 2. I end up with one equation with two unknowns.
Therefore, unless I am missing something answer should be E.
TK*TP=TS*TI
Since, TK=TP + PK
also, TI=TS + SI
Therefore, TP ( TP + PK) = TS ( TS + SI)
1. TS = PK
Insufficient since we still have 3 unknowns.
2. SI=5
Insufficient, 3 unknowns
I tried simplifying the equation but couldn't get a solution even after combining statements 1 and 2. I end up with one equation with two unknowns.
Therefore, unless I am missing something answer should be E.