Question : Chords $\overline{AB}$ and $\overline{CD}$ of a circle intersect inside the circle at point F. If $m(\overline{AF})=2.4$ cm, $m(\overline{BF})=1.8$ cm and $m(\overline{CD}) = 5.7$ cm, what is the length (in cm) of the longer of the two line segments, $\overline{CF}$ and

Question : Two circles touch each other externally, having a radius of 12 cm and 8 cm, respectively. Find the length of their common tangent AB with point A on the bigger circle and B on the smaller circle.

Question : In $\triangle \mathrm{ABC}, \overline{\mathrm{BD}} \perp \overline{\mathrm{AC}}$, intersecting $\overline{\mathrm{AC}}$ at $\mathrm{D}$. Also, $\mathrm{BD}=12 \mathrm{~cm}$. If $\mathrm{m}(\overline{\mathrm{AD}})=6 \mathrm{~cm}$ and

Question : A tangent AB at point A of a circle of radius 6 cm meets a line through the centre O at point B. If OB = 10 cm, then the length of AB (in cm) is equal to:

Question : JKLM is a cyclic quadrilateral in which $\angle \mathrm{K}$ is opposite to $\angle \mathrm{M}$. When $\mathrm{JK}$ and $\mathrm{ML}$ are produced, meet at point $\mathrm{Z}$. $\mathrm{JK}=10 \mathrm{~cm}, \mathrm{KZ}=12 \mathrm{~cm}$ and $\mathrm{MZ}=33 \mathrm{~cm}$. What is