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Which axis of a hyperbola is perpendicular to the conjugate axis?
The transverse axis is perpendicular to the conjugate axis.
What is the transverse axis?
The transverse axis is an imaginary line that passes through the center of a conic section (such as an ellipse, hyperbola, or parabola) and is perpendicular to the axis of symmetry. In an ellipse, the transverse axis is the longest diameter, while in a hyperbola, it passes through the foci.
How many lines of symmetry does a hyperbola have?
A hyperbola has two lines of symmetry. These lines of symmetry are the axes that pass through the center of the hyperbola: one is the transverse axis, which runs between the two branches, and the other is the conjugate axis, which is perpendicular to the transverse axis.
The transverse axis connects what?
The transverse axis is a connection on a hyperbola. It connects the focus, or center, of the hyperbola, and can connect two together.
Which axis of a hyperbola is prependicular to the conjugate axis?
The transverse axis.
The transverse axis connects the of a hyperbola?
Vertices
What expression gives the length of the transverse axis of the hyperbola?
The length of the transverse axis of a hyperbola is given by the expression ( 2a ), where ( a ) is the distance from the center of the hyperbola to each vertex along the transverse axis. For a hyperbola centered at the origin with the standard form ( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 ) (horizontal transverse axis) or ( \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1 ) (vertical transverse axis), the value of ( a ) determines the extent of the transverse axis. Thus, the transverse axis length varies directly with ( a ).
Which expression gives the length of the transverse axis of the hyperbola shown below?
a - b
The length of a hyperbola's transverse axis is equal to the the distances from any point on the hyperbola to each focus.?
difference between
What is the length of the transverse axis of the hyperbola defined by an equation?
The length of the transverse axis of a hyperbola depends on the specific equation of the hyperbola. For a standard hyperbola in the form ((y-k)^2/a^2 - (x-h)^2/b^2 = 1) (vertical transverse axis) or ((x-h)^2/a^2 - (y-k)^2/b^2 = 1) (horizontal transverse axis), the length of the transverse axis is (2a), where (a) is the distance from the center to each vertex along the transverse axis. Thus, to find the length, identify the value of (a) from the equation.
What is the length of the transverse axis of the hyperbola?
The length of the transverse axis of a hyperbola is determined by the distance between the two vertices, which are located along the transverse axis. For a hyperbola defined by the equation ((y - k)^2/a^2 - (x - h)^2/b^2 = 1) (vertical transverse axis) or ((x - h)^2/a^2 - (y - k)^2/b^2 = 1) (horizontal transverse axis), the length of the transverse axis is (2a), where (a) is the distance from the center to each vertex.
What is the line that connects the two vertices of a hyperbola?
Transverse axis
