The points on parabola y^2=12x whose focal distance is 4 are?

1.	The points on parabola y^2=12x whose focal distance is 4 are?
Answer» The coordinate will be : (3, 6), (3, -6) Explanation: As we know that coordinates of the focus of parabola with equation y²=4ax are (a,0). The focal distance of this parabola is 2a. Here, y² = 12x when we compare it to y² = 4ax then 4a = 12 a = 3 we can say the points lie on point of intersection of latus rectum and the parabola, so we put x = 3 we get y² = 36 y = ±6 so coordinates are (3, 6), (3, -6)

Answer»

The coordinate will be : (3, 6), (3, -6)

Explanation:

As we know that coordinates of the focus of parabola with equation y²=4ax are (a,0).

The focal distance of this parabola is 2a.

Here, y² = 12x when we compare it to y² = 4ax then
4a = 12
a = 3
we can say the points lie on point of intersection of latus rectum and the parabola, so we put x = 3
we get y² = 36
y = ±6

so coordinates are (3, 6), (3, -6)

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The points on parabola y^2=12x whose focal distance is 4 are?

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