ICSE Class X Math 2014 Paper

In the figure given below, diameter $A B$ and $C D$ of a circle meet at $P$ . PT is a tangent to the circle at $T . C D=7.8 \text{cm}, P D=5 \text{cm}, P D$ $=4 \text{cm}$ . Find :

Question : 36 of 52

Marks: +1, -0

the length of tangent PT.

Solution:

From eq. (1),

PT^2 = PA \times PB = 12.8 \times 5

\Rightarrow PT^2 = 64

\Rightarrow PT = 8\,\text{cm}.

= \text{Length of tangent.}

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