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The length of the latus rectum of a hyperbola is given by the formula ( \frac{2b^2}{a} ), where ( a ) is the distance from the center to the vertices and ( b ) is the distance from the center to the co-vertices. This length represents the width of the hyperbola at the points where it intersects the corresponding directrices. For hyperbolas oriented along the x-axis or y-axis, this formula applies similarly, with the values of ( a ) and ( b ) depending on the specific equation of the hyperbola.
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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
For a hyperbola that opens left and right the value a equals half the length of the hyperbola's transverse axis?
true
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 expression gives the length of the transverse axis of a 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. In standard form, the equation of a hyperbola can be represented as (\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1) for a horizontally oriented hyperbola, or (\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2} = 1) for a vertically oriented hyperbola. In both cases, (a) determines the length of the transverse axis.
In the standard equation for a hyperbola that opens left and right the value b equals half the length of the hyperbola's transverse axis?
True
In the standard equation for a hyperbola that opens up and down the value b equals half the length of the hyperbola's transverse axis?
true
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?
difference between TPate
What is the equation of a hyperbola that has a transverse axis of length 28 and is centered at the origin?
you
What has the author Letus A Wake written?
Letus A. Wake has written: 'Mr. Hooley on reciprocity'
What is length of a hyperbola's transverse axis is equal to the the distances from any point on the hyperbola to each focus?
I suggest that the answer is that the statement is false.
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.
