मराठी

In Following Fig., Pt is a Tangent to the Circle at T and Pab is a Secant to the Same Circle. If Pa = 4cm 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 PA = 4cm and AB = Scm, find PT.

बेरीज

उत्तर

Let PT = x cm 

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

PA · PB = PT2 

⇒  4 · 9 = PT2 

⇒ PT2 = 36 

⇒ PT = 6cm 

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पाठ 17: Circles - Exercise 17.3

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