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The foci of the ellipse \(\frac{x^2}{49} + \frac{y^2}{33} = 1\) are \(F_1\) and \(F_2\) as shown below. Let P be a point on the circle \(x^2 + (y - 3)^2 = 4.\) Line \(F_2P\) intersects the ellipse again at Q where the y-coordinate of Q is positive. Find the maximum value of PQ + F1Q.

 

 Jul 8, 2022
 #1
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The maximum value of PQ + F_1 Q is 8.

 Jul 8, 2022
 #2
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That doesn't seem right?

Guest Jul 9, 2022

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