What is a rectangular hyperbola in economics?
Rectangular hyperbola is a curve under which all rectangular areas are equal. When the elasticity of demand is equal to unity (ed = 1) at all points of demand curve, then the demand curve is rectangular hyperbola.
Which is termed as rectangular hyperbola?
When a hyperbola has its asymptotes or the axes perpendicular to each other then it is called a rectangular hyperbola. Also, the eccentricity of a rectangular hyperbola is √2.
Why is it known as rectangular hyperbola?
A rectangular hyperbola has its asymptotes or the axes perpendicular to each other, therefore it is called rectangular.
What does it mean when a demand curve is a rectangular hyperbola?
unitary elastic demand
When the demand curve is a rectangular hyperbola, it represents unitary elastic demand. This can be explained under total outlay method, where the total expenditure remain same throughout the demand curve.
How is rectangular hyperbola?
The rectangular hyperbola is the hyperbola for which the axes (or asymptotes) are perpendicular, or with eccentricity . The hyperbola is the section of a rectangular cone of revolution (angle at the vertex equal to 90°) by a plane strictly parallel to the axis of the cone.
What is the graph of rectangular hyperbola?
Rectangular Hyperbolas (or Equilateral Hyperbolas) are hyperbolas in the form of: xy = k, where k 0. 3) The asymptotes are the x- axis and the y-axis. 6) The Domain is the set of all real numbers, except x 0. 7) The vertices are located where the transverse axis intersects the graph of the hyperbola.
How do you identify a rectangular hyperbola?
If in a hyperbola the length of the transverse axis 2a is equal to the length of the conjugate axis 2b , the hyperbola is called a rectangular hyperbola.
Is rectangular hyperbola a function?
Rectangular hyperbola: This rectangular hyperbola has its center at the origin, and is also the graph of the function f(x)=1x f ( x ) = 1 x .
Is a rectangular hyperbola a function?
What is difference between rectangular hyperbola and hyperbola?
What is the difference between? Rectangular hyperbola is a special type of hyperbola in which it’s asymptotes are perpendicular to each other. (x2/a2) – (y2/b2) = 1 is the general form of hyperbolas, while a=b for rectangular hyperbolas, i.e: x2 – y2 = a2.
How do you find the rectangular hyperbola?
Rectangular Hyperbola with asymptotes as coordinate axis: The equation of the hyperbola which has its asymptotes as the coordinate axis is xy = c2 with parametric representation x = ct and y = c/t, t ∈ R-{0}. The equations of the directrices of the hyperbola in this case are x + y = ± √2c.
How do you find the focus of a rectangular hyperbola?
The rectangular hyperbola with equation xy=c2 has foci at (±c√2,±c√2) and directrices x+y=±c√2.
