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) \(F _ { 1 } P = - 29 + 43 \sqrt { 2 } , F _ { 2 } P = - 841 - 43 \sqrt { 2 }\)

---

Definitions:

Federal Agencies

Governmental bodies of the United States that operate at the national level, performing administrative, regulatory, or supervisory functions.

Pending Legislation

Proposed laws or amendments that have been introduced to a legislative body but have not yet been enacted into law.

Patents And Trademarks

Legal protections for inventions (patents) and recognizable signs, designs, or expressions (trademarks) that distinguish products or services.

Domain Name

A unique name that identifies an Internet site or a specific entity on the Internet, typically related to a particular organization or area of interest.