Hong Kong
Stage 4 - Stage 5
Calculating eccentricity of conic sections
Interactive practice questions
What is true about the eccentricity $e$e of a hyperbola?
The eccentricity is greater than 1.
A
The eccentricity is equal to 0.
B
The eccentricity is greater than 0 and less than 1.
C
The eccentricity is equal to 1.
D
Easy
< 1min
The point $P\left(-9,\frac{36}{5}\right)$P(−9,365) lies on a conic section with a focus at $\left(12,0\right)$(12,0) and directrix at $x=\frac{75}{4}$x=754.
Find the eccentricity of the conic section.
Easy
3min
Consider the hyperbola with the equation $16x^2-9y^2=144$16x2−9y2=144.
Easy
3min
The point $P\left(\frac{17}{2},-\frac{45}{8}\right)$P(172,−458) lies on a conic section with a focus at $\left(5,0\right)$(5,0) and directrix at $x=\frac{16}{5}$x=165.
Find the eccentricity of the conic section.
Easy
2min
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