Q54 / 160 · AP EAMCET 2020 (17 Sep Shift 2) · Mathematics
If \(x+5=0\) is the directrix and \((-3,0)\) the vertex of a parabola, then equation of this parabola is ____
- Correct answerA\(y^2=8(x+3)\)
- B\(y^2=8(x-3)\)
- C\(x^2=8(y+3)\)
- D\(x^2=8(y-3)\)
Solution
Given parabola is,

So, its equation is, \(y^2=4 a(x-(-3)\) Where \(a=2\) units. \(\therefore \quad y^2=8(x+3)\)

So, its equation is, \(y^2=4 a(x-(-3)\) Where \(a=2\) units. \(\therefore \quad y^2=8(x+3)\)
Hence, the correct answer is option: 'A'.