Parabolas — Engineering Board Exam Practice Questions
14 free engineering board exam reviewer questions on Parabolas (Analytic Geometry), each with the correct answer and a worked solution.
- Find the equation of the parabola with a vertical axis that passes through (0,0), (2,0) and (-1,3).
- Find the area bounded by the parabola y2=4x and its latus rectum.
- A parabolic reflector has a rim diameter of 20 cm and is 5 cm deep. How far from the vertex is the focus, in cm?
- Find the equation of the tangent line to the parabola y2=8x at the point (2,4).
- A point on the parabola y2=12x has an abscissa of 6. Find its distance from the vertex.
- Find the equation of the parabola with focus (2,3) and directrix x=-2.
- The point (4,4) lies on the parabola y2=4x. Find its distance from the focus.
- A parabola has its vertex at the origin, opens to the right, and passes through (2,4). Find the length of its latus rectum.
- Find the focus of the parabola y2-6y-8x+1=0.
- Find the equation of the parabola with vertex (2,-1), a horizontal axis, and focus (5,-1).
- Find the equation of the parabola with vertex at the origin and focus at (0,-4).
- Find the equation of the directrix of the parabola y2=-12x.
- Find the length of the latus rectum of the parabola x2=20y.
- Find the focus of the parabola y2=8x.