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Q.

The radius of the director circle of $16 x^{2} + 9 y^{2} = 144$ is $_____$

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answer is 3.

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Detailed Solution

$director circle i s x^{2} + y^{2} = a^{2} + b^{2} \Rightarrow x^{2} + y^{2} = 9 + 16 = 25 ∴ rad i us = 5$

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