Find the equation of the parabola whose: focus is (3,0) and the directrix is `3x+4y=1.`

Explanation

To find the equation of the parabola with a focus at (3, 0) and a directrix given by the line \(3x + 4y = 1\), we will follow these steps:

### Step 1: Understand the properties of the parabola
The parabola is defined as the set of all points \(P\) such that the distance from \(P\) to the focus is equal to the perpendicular distance from \(P\) to the directrix.

### Step 2: Set up the coordinates
Let \(P(h, k)\) be a point on the parabola. The focus is at \(F(3, 0)\) and the directrix is given by the equation \(3x + 4y - 1 = 0\).

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