Engineering Board Exam Reviewer · Parabolas · easy

Find the length of the latus rectum of the parabola x2=20y.

  1. 5
  2. 20
  3. 10
  4. 40

Answer

B. 20

Solution

The latus rectum of x2=4py has length |4p|=20.

More Parabolas questions

  1. Find the focus of the parabola y2=8x.
  2. Find the equation of the parabola with a vertical axis that passes through (0,0), (2,0) and (-1,3).
  3. Find the area bounded by the parabola y2=4x and its latus rectum.
  4. 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?
  5. Find the equation of the tangent line to the parabola y2=8x at the point (2,4).
  6. A point on the parabola y2=12x has an abscissa of 6. Find its distance from the vertex.
  7. Find the equation of the parabola with focus (2,3) and directrix x=-2.
  8. The point (4,4) lies on the parabola y2=4x. Find its distance from the focus.
  9. A parabola has its vertex at the origin, opens to the right, and passes through (2,4). Find the length of its latus rectum.
  10. Find the focus of the parabola y2-6y-8x+1=0.

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