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India
Class XI

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$16x29y2=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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Outcomes

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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