Engineering Board Exam Reviewer · Parabolas · medium

Find the equation of the tangent line to the parabola y2=8x at the point (2,4).

  1. x + y - 6 = 0
  2. x - y - 2 = 0
  3. x - y + 2 = 0
  4. 2 x - y = 0

Answer

C. x - y + 2 = 0

Solution

Implicit differentiation: 2y,y'=8 y'= 4y=1 at (2,4). y-4=x-2 x-y+2=0.

More Parabolas questions

  1. A point on the parabola y2=12x has an abscissa of 6. Find its distance from the vertex.
  2. Find the equation of the parabola with focus (2,3) and directrix x=-2.
  3. The point (4,4) lies on the parabola y2=4x. Find its distance from the focus.
  4. A parabola has its vertex at the origin, opens to the right, and passes through (2,4). Find the length of its latus rectum.
  5. Find the focus of the parabola y2-6y-8x+1=0.
  6. Find the equation of the parabola with vertex (2,-1), a horizontal axis, and focus (5,-1).
  7. Find the equation of the parabola with vertex at the origin and focus at (0,-4).
  8. Find the equation of the directrix of the parabola y2=-12x.
  9. Find the length of the latus rectum of the parabola x2=20y.
  10. Find the focus of the parabola y2=8x.

All Parabolas questions