Conic Sections ...

Determine the equation for the ellipse if center is at (0, 0), the major axis on the y-axis and ellipse passes through the points (4, 3) and (2, 5).

Find the length of the major axis of the ellipse \(\frac{x^{2}}{16}+\frac{y^{2}}{9}=1\).

The length of latus rectum of the hyperbola \(\frac{x^{2}}{100}-\frac{y^{2}}{75}=1\) is:

If the latus rectum of an ellipse is equal to half of its minor axis, then its eccentricity is:

Find the foci of the ellipse \(4 x^{2}+9 y^{2}+16 x+18 y-11=0\).

Find the length of latus rectum of hyperbola \(25 y^{2}-24 x^{2}=600\).

Find the equation of the directrix of the parabola x² = 64y.

The equation of the ellipse whose vertices are at \((\pm 5,0)\) and foci at \((\pm 4,0)\) is:

The curve represented by the equations

\(x=3(\cos t+\sin t)\)

\(y=4(\cos t-\sin t)\) is:

The equation of parabola with the focus (2, 0) and directrix as x + 2 = 0 is: