Question

Identify the constant difference for a hyperbole with foci (-3, 0) and (3, 0) and a point on the hyperbola (7, 0)A. 14B. 6C. 10D. 2

Answer 1

Answer:

Explanations:

Let the coordinates of the focus(-3, 0) be:

x₁ = -3, y₁ = 0

Let the coordinates of the focus(3, 0) be:

x₂ = 3, y ₂ = 0

Let the coordinates of point(7, 0) be:

x₃ = 7, y₃ = 0

Let the distance between the Focus(-3, 0) and (7, 0) be d₁

$\begin{gathered} d_1=\text{ }\sqrt[]{(x_3-x_1)^2+(y_3-y_1)^2} \\ d_1=\text{ }\sqrt[]{(7-(-3))^2+(0-0)^2} \\ d_1=\text{ }\sqrt[]{10^2} \\ d_1=\text{ 10} \end{gathered}$

Let the distance between the Focus (3, 0) and (7, 0) be d₂

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