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# PT is the tangent PAB is a secant if AB = 5cm, PT = 6cm, find the length of PA?

Asked by YOGIRAJ Karambelkar 27th February 2013, 5:32 PM
Let the length of PA = x cm

By using the theorem which says that in a circle, if PAB is the secant and PT is the tangent, then PT2 = PA. PB

Hence, here also,
PT2 = PA. PB
62 = x. (x+5)
x2 +5x -36 = 0
(x+9) (x-4) = 0
x = -9 or x = 4
Since, x can't be negative, hence, x = 4
i.e. length of PA = 4 cm
Answered by Expert 27th February 2013, 8:19 PM
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