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Stage 4 - Stage 5

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$16`x`2−9`y`2=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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