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Find coordinate of points lie on parabola y^2=8x and focal length is 4

Find coordinate of points lie on parabola y^2=8x and focal length is 4

Grade:12

1 Answers

lj
115 Points
6 years ago
Focus of parabola is (2,0).Focal length is defined as distance of point from focus.Since length of semi latus rectum is 4 units , we can say the points lie on point of intersection of latus rectum and the parabola.So points can be calculated by putting x=2.We get y= +_ 4.Hence pt are (2,4),(2,-4).You can also get the answer by considering a general point on parabola say (2t2, 2t) and put its distance from focus (2,0) as four

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