Find the equation of the parabola with vertex at (0,0) and focus at (0,2).

Find the equation of the hyperbola with vertices (+-4,0) and foci at (+-6,0) .

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

Find the equation of the parabola whose vertex is at the origin, axis is along the X-axis and the length of the latus rectum is 4 units.

Find the area of the triangle whose vertices are (0, 0), (a, 0) and (0, b).

Find the equation of the ellipse whose vertices are (0,+-6) and eccentricty is 1/3.

Find the equation of the circle whose centre is (2, 3) and which touches the line 3x - 4y - 1 = 0.

Find the equation of the tangent to be curve y=f(x) at (x_(0),y_(0)) , if (dy)/(dx) does not exist at this point.

Find the equation of the ellipse whose foci are (3,0) and(-3,0) and eccentricity 2/3.

Find the differential equation of all parabolas : y^2 = 4ax

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).