Given data:
The given radius is JK=JM=3.
The given length is LM=2.
The tangent is always perpendicular to the radius, the expression for the Pythagoras theorem is,
[tex]\begin{gathered} (JK)^2+(KL)^2=(JL)^2 \\ (JK)^2+(KL)^2=(JM++ML)^2 \end{gathered}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} (3)^2+(KL)^2=(3+2)^2 \\ 9+(KL)^2=25 \\ (KL)^2=16 \\ KL=4 \end{gathered}[/tex]Thus, the first option is correct.