Questions in conic-section

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Equation of the parabola whose directrix is $y=2x-9$ and focus (–8, –2) is
The equation of the parabola with (–3, 0) as focus and $x+5=0$ as directrix, is
The equation of the parabola whose vertex and focus lies on the x-axis at distance a and a’ from the origin, is
The focus of the parabola ${{y}^{2}}=4y-4x$ is
Vertex of the parabola ${{x}^{2}}+4x+2y-7=0$ is
If the axis of a parabola is horizontal and it passes through the points (0, 0), (0, –1) and (6, 1), then its equation is
The equation of the latus rectum of the parabola represented by equation ${{y}^{2}}+2Ax+2By+C=0$ is
The parametric equation of the curve ${{y}^{2}}=8x$ are
The equations $x=\frac{t}{4},\ y=\frac{{{t}^{2}}}{4}$ represents
The equation of parabola whose vertex and focus are (0, 4) and (0, 2) respectively, is

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