Ellipses: parts, equations and graphs
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Luz plans an oval flower bed with stakes at the foci (-3, 0) and (3, 0). The edge passes through (3, 8). What is the sum of the point's distances to the foci?
An ellipse with its foci (0, -6) and (0, 6) marked, and the point (16, 6) on it. Milo draws an oval table top with foci (0, -6) and (0, 6). The edge passes through (16, 6). What is the sum of the point's distances to the foci?
Noah draws a planet's orbit with foci (-2, 0) and (2, 0), the sun at (2, 0). It passes through (2, 3). What is the sum of the point's distances to the foci?
Ren draws an ellipse on graph paper with foci (0, -8) and (0, 8). It passes through (12, 8). What is the sum of the point's distances to the foci?
Zee draws the ellipse x²/25 + y²/81 = 1 on graph paper. How long is its major axis, the longest line across it?
Esme draws an oval table top as x²/100 + y²/36 = 1, in decimeters. How long is its major axis, the longest line across it?
Jun draws the ellipse x²/9 + y²/64 = 1 on graph paper. How long is its major axis, the longest line across it?
Luz draws a planet's orbit around the sun as x²/25 + y²/16 = 1. The sun sits at one focus. Where are the foci?
- (-√41, 0) and (√41, 0)
- (-3, 0) and (3, 0)
- (0, -3) and (0, 3)
- (-5, 0) and (5, 0)
Milo plans an oval flower bed as x²/9 + y²/25 = 1, with a stake at each focus. Where are the foci?
- (0, -√34) and (0, √34)
- (0, -5) and (0, 5)
- (0, -4) and (0, 4)
- (-4, 0) and (4, 0)
Noah draws the ellipse x²/169 + y²/144 = 1 on graph paper. Where are its foci?
- (0, -5) and (0, 5)
- (-13, 0) and (13, 0)
- (-√313, 0) and (√313, 0)
- (-5, 0) and (5, 0)
