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Chapter 10: Q. 18 (page 683)

In Problems 13鈥�24, analyze each equation and graph it

r=124+8sin胃

Short Answer

Expert verified

The equation represents a hyperbola.

Step by step solution

01

Step 1. Given Information 

We are given an equation

r=124+8sin胃

We need to find the graph of the equation.

02

Step 2. Analyze the equation 

Compare the given equation with r=ep1+esin胃

The given equation becomes,

r=124+8sin胃路1414r=31+2sin胃Therefore,e=2ep=3鈬�(2)p=3鈬�p=32Since,e>1

Therefore, a hyperbola will be formed.

03

Step 3. Plotting points 

Now, we will calculate the points from the given equation,

胃=0:r=124+8sin(0)=124+0=124=3胃=蟺2:r=124+8sin蟺2=124+8=1212=1胃=蟺:r=124+8sin(蟺)=124+0=124=3胃=3蟺2:r=124+3sin3蟺2=124-8=12-4=-3-3,3蟺2

04

Step 4. Required graph 

Plotting the points, we get the graph as,

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Most popular questions from this chapter

Answer Problem using the figure.

If a = 4, then the equation of the directrix is______ .

The graph of a parabola is given. Match graph to its equation.

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