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)
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