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Question 30. (a) In the figure (i) given below, PT is a tangent to the circle. Find TP if AT = 16 cm and AB = 12 cm.

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One of the most important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question it ia given that PT is a tangent to the circle.

And we have to find TP

It is also given that AT = 16 cm and AB = 12 cm.

ICSE Avichal publication
Understanding ICSE Mathematics
Question 30(a)

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1 Answer

  1. Solution:
    (a) PT is the tangent to the circle and AT is a secant.
    PT² = TA × TB
    Now TA = 16 cm, AB = 12 cm
    TB = AT – AB = 16 – 12 = 4 cm
    ∴ PT² = 16 + 4 = 64 = (8)²
    ⇒ PT = 8 cm or TP = 8 cm

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