What conic section is defined by all points in a plane where the difference between the lengths of segments x and y remains constant?

Question

contestada

Respuesta :

sqdancefan sqdancefan · Answer 1 · 2019-06-15T03:52:54+02:00

Answer:

hyperbola

Step-by-step explanation:

If the sum is constant, the figure is an ellipse.

If the difference is constant, you get a hyperbola.

If one length is constant, you get a circle.

If the length to a point is the same as the length to a line, you get a parabola.

Answer Link

Аноним Аноним · Answer 2 · 2019-09-05T16:42:21+02:00

Answer:

There are four type of conic generated when a double napped cone is cut by a plane

1.Circle

2.Parabola

3.Ellipse

4.Hyperbola

Among these four, Hyperbola is the conic , ,all points in a plane where the difference between the lengths of segments x and y remains constant.

A point on Semi major Axis=(a,0),lying on the Hyperbola.

A point on Semi Minor axis =(0,b),not lying on the Hyperbola.

Take a point D lying on the hyperbola,and two points M and N not lying on the hyperbola.

DM-DN=2a(Length of major axis)