Activity 1.1 Identify the correct answer of the following statements. Write your response on the blank. 1. It is a segment whose endpoints are the vertices of an ellipse. 2. It is an intersection point of the major-axis and minor axis. (x - 3)2 + 64 100 (y-2)² 3. What are the foci of the ellipse = 1? 4. What is the center of center of an ellipse defined by the equation x² *2 + (y + 12)2 = 1?
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Answer:
1. the major axis
2. the center of ellipse or ellipse lang
3. An ellipse has two focus points. The word foci (pronounced 'foe-sigh') is the plural of 'focus'. One focus, two foci. The foci always lie on the major (longest) axis, spaced equally each side of the
center.
4.Standard equation of an ellipse centered at (h,k) is (x−h)2a2+(y−k)2b2=1 with major axis 2a and minor axis 2b. Hence Centre is (3, -2), focii are (−√7+3,−2)and(√7+3,−2) . vertices (on horizontal axis) would be at (-4+3,-2) and (4+3,-2) Or (-1,-2) and (7,-2).
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