Chapter 11: Q. 154E (page 1134)

In the following exercises, graph.
$25 y^{2} - 9 x^{2} = 225$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information

The equation is $25 y^{2} - 9 x^{2} = 225$ .

Draw the graph.

Step 2. Calculation

Divide the equation by 225 on both sides.

$\frac{25 y^{2}}{225} - \frac{9 x^{2}}{225} = \frac{225}{225} \frac{y^{2}}{9} - \frac{x^{2}}{25} = 1$

The $y^{2}$ term is positive, the transverse axis is vertical.

Here, localid="1645425532412" $a^{2} = 9 \Rightarrow a = \pm 3$

So, the vertices on y- axis are localid="1645425546901" $(0, 3), (0, - 3)$ .

Now, localid="1645425564469" $b^{2} = 25 \Rightarrow b = \pm 5$

The vertices on x- axis are localid="1645425584371" $(5, 0), (- 5, 0)$ .

So asymptote have the equations

localid="1645425896948" $y = \frac{a}{b} x y = \frac{3}{5} x$

localid="1645425916083" $y = - \frac{3}{5} x$

Step 3. Draw the graph

Draw the graph using asymptotes.

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In the following exercises, graph.
$25 y^{2} - 9 x^{2} = 225$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw the graph

One App. One Place for Learning.

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In the following exercises, graph.25y2-9x2=225

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Statistics

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph.
$25 y^{2} - 9 x^{2} = 225$