If the coordinates of the vertex and the focus of a parabola are (−1, 1) and (2, 3) respectively, then the equation of its directrix is
(a) 3x + 2y + 14 = 0
(b) 3x + 2y − 25 = 0
(c) 2x − 3y + 10 = 0
(d) none of these.
(a) 3x + 2y + 14 = 0
Given:
The vertex and the focus of a parabola are (−1, 1) and (2, 3), respectively.
∴ Slope of the axis of the parabola =
Slope of the directrix =
Let the directrix intersect the axis at K (r, s).
∴
Equation of the directrix:
Given:
The vertex and the focus of a parabola are (−1, 1) and (2, 3), respectively.
∴ Slope of the axis of the parabola =
Slope of the directrix =
Let the directrix intersect the axis at K (r, s).
∴
Equation of the directrix: