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In Following Fig., Pt is a Tangent to the Circle at T and Pab is a Secant to the Same Circle. If Pb = 9cm and Ab = Scm, Find Pt. - Mathematics

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प्रश्न

In following fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PB = 9cm and AB = Scm, find PT. 

योग

उत्तर

Let PT = x cm 

Since, PAB is a secant and PT is a tangent to the given circle, we have, 

PA · PB = PT

⇒ 4 · 9 = PT

⇒ PT2 = 36 

⇒  PT = 6cm 

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अध्याय 17: Circles - Exercise 17.3

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17.3 | Q 8

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