Chapter 10: Q. 16 (page 667)

In Problems 15–18, the graph of a hyperbola is given. Match each graph to its equation.
Equations: $(A) \frac{x^{2}}{4} - y^{2} = 1 (B) x^{2} - \frac{y^{2}}{4} = 1 (C) \frac{y^{2}}{4} - x^{2} = 1 (D) y^{2} - \frac{x^{2}}{4} = 1$
Graph:

Short Answer

Expert verified

The equation of given graph is: $(C) \frac{y^{2}}{4} - x^{2} = 1$

Step by step solution

Step 1. Given information

Equations:

$(A) \frac{x^{2}}{4} - y^{2} = 1 (B) x^{2} - \frac{y^{2}}{4} = 1 (C) \frac{y^{2}}{4} - x^{2} = 1 (D) y^{2} - \frac{x^{2}}{4} = 1$

Graph:

Step 2. Required to find

Match the graph to its equation.

Step 3. Matching the graph to its equation

Substitute values of points on the graph and see if the equation holds good.

In the given graph, take point $(x, y) = (0, 2)$ , only equation (C) satisfies and hence, it is the right match.

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In Problems 15–18, the graph of a hyperbola is given. Match each graph to its equation.
Equations: $(A) \frac{x^{2}}{4} - y^{2} = 1 (B) x^{2} - \frac{y^{2}}{4} = 1 (C) \frac{y^{2}}{4} - x^{2} = 1 (D) y^{2} - \frac{x^{2}}{4} = 1$
Graph:

Short Answer

Step by step solution

Step 1. Given information

Step 2. Required to find

Step 3. Matching the graph to its equation

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In Problems 15–18, the graph of a hyperbola is given. Match each graph to its equation.Equations: Ax24-y2=1Bx2-y24=1Cy24-x2=1Dy2-x24=1Graph:

Short Answer

Step by step solution

Step 1. Given information

Step 2. Required to find

Step 3. Matching the graph to its equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Decision Maths

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In Problems 15–18, the graph of a hyperbola is given. Match each graph to its equation.
Equations: $(A) \frac{x^{2}}{4} - y^{2} = 1 (B) x^{2} - \frac{y^{2}}{4} = 1 (C) \frac{y^{2}}{4} - x^{2} = 1 (D) y^{2} - \frac{x^{2}}{4} = 1$
Graph: