Answer:
Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:
The numerical value of the slope is:
The component of the y-axis is:
Now, the tangent line has the following mathematical model:
The value of the intercept is found by isolating it within the equation and replacing all known variables:
Thus, the tangent line is:
The vertical distance between a point of the tangent line and the origin is given by the intercept.
In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:
The area of the triangle is computed by this formula:
