D. If the two given points are (-a, 0) and (a,0) then the lemniscates has its center at the origin (0,0) and major axis along the x-axis. For example, let a 0. The graphs for the products of two distance equation gives a circle. We notice that with the increase in the distance the circle seems to slightly change the shape. For different values of d. The equation can further be simplified as: What we did here is just simplified the given equation into a simplified form, therefore its graph remains the same. Let's graph the equation (x2 y2)2 2a2(x2-y2) b for different values of a and b Case i: a varying and b constant Case ii: a constant and b varying Case iii: a and. Let's set each of these equations to a non constant value and see how the graph changes its shape, the following graphs represent the different distance equations and as we can see the size of the circle increase with the increase in distance that is the radius of the circle. Consider two points (3,4) and (-5,-2). For any point (x, y) we can write the distance equations for these as. Let's see how the graph looks like for the above two equations: Obviously circles.
Jun 24, 2010. Answer There are four primary fundamental properties of measurement: assignment, order, distance and origin. The assignment property is.