ICSE Class X Math 2014 Solved 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 $T . C D=7.8 {\cm}, P D=5 {\cm}, P D$ $=4 {\cm}$ . Find :

Question : 36 of 52

Marks: +1, -0

the length of tangent PT.

Solution:

From eq. (1),

{\PT}^2\;= {\PA} × {\PB}=12.8 × 5

⇒ {\PT}^2\;=64

⇒ \; {\PT}\;=8 {\cm} .

\;=\;\text " Length of tangent. "\;

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