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Home » Find the coordinates of a point on the parabola y2 = 8x whose focal distance is 4.
Find the coordinates of a point on the parabola y2 = 8x whose focal distance is 4.
CBSE | Class 11 | Conic Sections | Maths | NCERT Exemplar
Find the coordinates of a point on the parabola y2 = 8x whose focal distance is 4.

equation of an ellipse is y2 = 4ax,

Also we have length of latus rectum = 4a

Now by comparing the above two equations,

4a = 8

Therefore

    \[\begin{array}{*{35}{l}} a\text{ }=\text{ }2 \\ {{y}^{2~}}=\text{ }8\text{ }\times \text{ }2\text{ }=\text{ }16 \\ y\text{ }=\text{ }\pm \text{ }4\text{ }and\text{ }x\text{ }=\text{ }2 \\ \end{array}\]

Hence the co – ordinates are (2, 4) and (2, -4).

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