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 answer
    A
    \(y^2=8(x+3)\)
  • B
    \(y^2=8(x-3)\)
  • C
    \(x^2=8(y+3)\)
  • D
    \(x^2=8(y-3)\)

Solution

Given parabola is, Figure
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'.

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