P is any point on the ellipse 9x^2 + 36y^2 = | vedclass

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(B) The given equation of the ellipse is $9x^2 + 36y^2 = 324$.Dividing both sides by $324$,we get $\frac{9x^2}{324} + \frac{36y^2}{324} = 1$,which sim

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$12$

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(B) The given equation of the ellipse is $9x^2 + 36y^2 = 324$.Dividing both sides by $324$,we get $\frac{9x^2}{324} + \frac{36y^2}{324} = 1$,which simplifies to $\frac{x^2}{36} + \frac{y^2}{9} = 1$.Comparing this with the standard form $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$,we have $a^2 = 36$,so $a = 6$.By the definition of an ellipse,the sum of the focal distances of any point $P$ on the ellipse is equal to the length of the major axis,which is $2a$.Therefore,$SP + S'P = 2a = 2 	imes 6 = 12$.

$P$ is any point on the ellipse $9x^2 + 36y^2 = 324$,whose foci are $S$ and $S'$. Then $SP + S'P$ equals

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