In the given figure if $M B = 12, M A = 16, M C = 8$ then $M D = ?$

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Solution

The correct option is B 24
$\begin{matrix} G i v e n t h a t, M b = 12, M A = 16, M C = 8 N o w, T h e c h o r d s A B & C D i n t e r sec t e a c h o t h e r i n t e r n a l l y . ∴ M D \times M C = M A \times M B M D \times 8 = 16 \times 12 M D = \frac{16 \times 12}{8} ∴ M D = 24 \end{matrix}$

Hence, option $B$ is correct.

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