Circles and Ellipses

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

Manipulate Ellipse Equations

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

a

Write the equation in standard form $\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1$(`x`−`h`)2`a`2+(`y`−`k`)2`b`2=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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