Problem

Select the equations for the directrix lines for the hyperbola defined by the equation \( \frac{x^{2}}{20}-\frac{y^{2}}{10}=1 \)

Solution

Step 1 :\(a^2 = 20, b^2 = 10\)

Step 2 :\(c = \sqrt{a^2 + b^2} = \sqrt{20 + 10}\)

Step 3 :\(c = \sqrt{30}\)

Step 4 :\(Directrix1: x = \pm\frac{a^2}{c} = \pm\frac{20}{\sqrt{30}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/10715/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download