Find the co-ordinates of the focus and the equation of the directrix of the parabola `y^2=12x`.

Find the vertex and the directrix of the parabola y^2=8(x+1) .

Write the coordinates of the vertex and the focus, the equations of the directrix and the axis, and the length of the latus rectum of the parabola: (i) y ^2 = 16x

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. 16x^2-9y^2=576 .

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. x^2/16-y^2/9=1 .

What is the distance of the focus from the directrix of the parabola y ^2 = 8x?

Write the focus, directrix, and length of latus rectum of the parabola: (i) 3y ^2 = 4x

Write the focus, directrix, and length of latus rectum of the parabola: (ii) 5y ^2 = - 8x

Write the focus, directrix, and length of latus rectum of the parabola: (iii) x ^2 = 6y

Write the focus, directrix, and length of latus rectum of the parabola: (iv) x ^2 = -9y

Find the derivate of y = e^(cos^2x) .