NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Manipulate Ellipse Equations

Interactive practice questions

Consider the ellipse with equation $x^2+25y^2=25$x2+25y2=25.

a

Write the equation in standard form $\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1$(xh)2a2+(yk)2b2=1 where $a>b$a>b.

b

Draw the graph of the ellipse.

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Hard
Approx 3 minutes
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Consider the ellipse with equation $\left(x+3\right)^2+4\left(y-1\right)^2=16$(x+3)2+4(y1)2=16.

Outcomes

M8-1

Apply the geometry of conic sections

91573

Apply the geometry of conic sections in solving problems

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