Questions in conic-section

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The point on the parabola ${{y}^{2}}=18x$ , for which the ordinate is three times the abscissa, is
The equation of latus rectum of a parabola is $x+y=8$ and the equation of the tangent at the vertex is $x+y=12$ , then length of the latus rectum is
Vertex of the parabola ${{y}^{2}}+2y+x=0$ lies in the quadrant
The equation ${{x}^{2}}-2xy+{{y}^{2}}+3x+2=0$ represents
$x-2={{t}^{2}},\ y=2t$ are the parametric equations of the parabola
The equation of the latus rectum of the parabola ${{x}^{2}}+4x+2y=0$ is
Vertex of the parabola $9{{x}^{2}}-6x+36y+9=0$ is
The equation of the parabola whose axis is vertical and passes through the points (0, 0), (3, 0) and (–1, 4) is
The equation of the parabola whose vertex is (–1, –2), axis is vertical and which passes through the point (3, 6), is
Axis of the parabola ${{x}^{2}}-4x-3y+10=0$ is

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