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Question: P is any point on the ellipse 81x<sup>2</sup> +144y<sup>2</sup> = 1944 whose foci are S and S¢ then ...

P is any point on the ellipse 81x2 +144y2 = 1944 whose foci are S and S¢ then SP +S¢P=

A

3

B

46\sqrt{6}

C

36

D

324

Answer

46\sqrt{6}

Explanation

Solution

81x21944\frac{81x^{2}}{1944}+ 144y21944\frac{144y^{2}}{1944}= 1 Ž x224\frac{x^{2}}{24}+ 4y254\frac{4y^{2}}{54}= 1