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x2/144 - y2/25 = 1

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12y ago

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What is the length of letus rectum of hyperbola?

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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Asymptotes are the guidelines that a hyperbola follows. They form an X and the hyperbola always gets closer to them but never touches them. If the transverse axis of your hyperbola is horizontal, the slopes of your asymptotes are + or - b/a. If the transverse axis is vertical, the slopes are + or - a/b. The center of a hyperbola is (h,k). I don't know what the rest of your questions are, though.


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A hyperbola is a math term meaning a curve in which the distances form either a fixed point or a straight line with a fixed ratio. The formula to find the eccentricity of a hyperbola is "E=C/A," with A being the distance from the center to the focus, and C being the distance from the center to the vertex. Math fans say that solving this formula is about as easy as solving for the area of a triangle, meaning it is not a difficult concept to master.


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