You Are Given an Ellipse and a Point P on the Ellipse

question 21

Multiple Choice

You are given an ellipse and a point P on the ellipse. Find $F _ { 1 } P$ and $F _ { 2 } P$ , the lengths of the focal radii. $\frac { x ^ { 2 } } { 87 ^ { 2 } } + \frac { y ^ { 2 } } { 29 ^ { 2 } } = 1 ; P ( 63,20 )$

• A) \(F _ { 1 } P = 87 + 42 \sqrt { 2 } , F _ { 2 } P = 87 - 42 \sqrt { 2 }\)
• B) \(F _ { 1 } P = 841 + 42 \sqrt { 2 } , F _ { 2 } P = 29 + 42 \sqrt { 2 }\)
• C) \(F _ { 1 } P = 29 + 43 \sqrt { 2 } , F _ { 2 } P = 841 - 43 \sqrt { 2 }\)
• D) \(F _ { 1 } P = - 87 - 42 \sqrt { 2 } , F _ { 2 } P = 87 + 42 \sqrt { 3 }\)
• E) \(F _ { 1 } P = - 29 + 43 \sqrt { 2 } , F _ { 2 } P = - 841 - 43 \sqrt { 2 }\)

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