Show that, for the ellipse (x2 / a2 )+ (y2 / b2 ) = 1, the product of the perpendicular distances between the foci and any tangent to the ellipse is the square of the...

I've got two LORAN stations A and B that are 500 miles apart. A and B are also the Foci of a hyperbola. A ship at point P (which lies on the hyperbola branch with A as the focus) receives a nav signal...

The equation 4x^2+9y^2-36y = 0 defines a shifted ellipse. Write this equation in the standard form, find the center, focus, vertices of this ellipse, the lengths of major and minor axes and sketch...

Identify the conic that this polar equation represents. Also, give the position of the directix. r=1/(1+costheta) The equation defines a circle. The equation defines an ellipse...

Write equation in standard form. Cirles, identify the center and radius. Identify ellipses and hyperbole identify the center.

find the equation of hyperbola whose axes are the co-ordinate axes with transverse axis equal to 2 and conjugate axis equal to 3. the standard forms  of hyperbolas with center at the origin...

Circles, ellipses, and hyperbolas identify the center. Write equation in standard form.

Identify this equation without completing the square. x2 + y2 - 8x + 4y = 0 The equation defines a circle. The equation defines an ellipse. The equation defines a hyperbola...