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Distance of a focal chord of the parabola y 2 = 4x from the vertex is 2 units then its length is

Distance of a focal chord of the parabola y2 = 4x from the vertex is 2 units then its length is

Grade:12th pass

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dera Student,

Assume any point on parabola P(at2, 2at) and PQ is focal chord then coordinates of Q will be (a/t2, -2a/t). Since value of a = 1.
Now write the equation of line PQ using two- point form.
Since its distance from the vertex is 2. So apply this condition, you will get the value of t and then you can easily find the length of PQ.
Also remember, length of focal chord is a(t+1/t)2

Thanks.

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