Equation of Parabola with Given Focus and Directrix
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Parabola

120935 The equation of the directrix of the parabola \(x^2-4 x-8 y+12=0\) is

1 \(y=0\)
2 \(x=1\)
3 \(y=-1\)
4 \(x=-1\)
COMEDK-2011
Parabola

120936 The equation of the lines joining the vertex of the parabola \(y^2=6 x\) to the points on it which have abscissa 24 are

1 \(y \pm 2 x=0\)
2 \(2 \mathrm{y} \pm \mathrm{x}=0\)
3 \(x \pm y=0\)
4 \(2 x \pm 3 y=0\)
COMEDK-2014
Parabola

120938 The focus of the curve \(y^2+4 x-6 y+13=0\) is

1 \((2,3)\)
2 \((-2,3)\)
3 \((2,-3)\)
4 \((-2,-3)\)
VITEEE-2018
Parabola

120939 The locus of the mid-points of the focal chords of the parabola \(y^2=4 \mathrm{ax}\) is

1 \(y^2=a(x-a)\)
2 \(y^2=2 a(x-a)\)
3 \(y^2=4 a(x-a)\)
4 None of these
VITEEE-2011
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Parabola

120935 The equation of the directrix of the parabola \(x^2-4 x-8 y+12=0\) is

1 \(y=0\)
2 \(x=1\)
3 \(y=-1\)
4 \(x=-1\)
COMEDK-2011
Parabola

120936 The equation of the lines joining the vertex of the parabola \(y^2=6 x\) to the points on it which have abscissa 24 are

1 \(y \pm 2 x=0\)
2 \(2 \mathrm{y} \pm \mathrm{x}=0\)
3 \(x \pm y=0\)
4 \(2 x \pm 3 y=0\)
COMEDK-2014
Parabola

120938 The focus of the curve \(y^2+4 x-6 y+13=0\) is

1 \((2,3)\)
2 \((-2,3)\)
3 \((2,-3)\)
4 \((-2,-3)\)
VITEEE-2018
Parabola

120939 The locus of the mid-points of the focal chords of the parabola \(y^2=4 \mathrm{ax}\) is

1 \(y^2=a(x-a)\)
2 \(y^2=2 a(x-a)\)
3 \(y^2=4 a(x-a)\)
4 None of these
VITEEE-2011
NEET DIGITAL LIBRARY
Parabola

120935 The equation of the directrix of the parabola \(x^2-4 x-8 y+12=0\) is

1 \(y=0\)
2 \(x=1\)
3 \(y=-1\)
4 \(x=-1\)
COMEDK-2011
Parabola

120936 The equation of the lines joining the vertex of the parabola \(y^2=6 x\) to the points on it which have abscissa 24 are

1 \(y \pm 2 x=0\)
2 \(2 \mathrm{y} \pm \mathrm{x}=0\)
3 \(x \pm y=0\)
4 \(2 x \pm 3 y=0\)
COMEDK-2014
Parabola

120938 The focus of the curve \(y^2+4 x-6 y+13=0\) is

1 \((2,3)\)
2 \((-2,3)\)
3 \((2,-3)\)
4 \((-2,-3)\)
VITEEE-2018
Parabola

120939 The locus of the mid-points of the focal chords of the parabola \(y^2=4 \mathrm{ax}\) is

1 \(y^2=a(x-a)\)
2 \(y^2=2 a(x-a)\)
3 \(y^2=4 a(x-a)\)
4 None of these
VITEEE-2011
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Parabola

120935 The equation of the directrix of the parabola \(x^2-4 x-8 y+12=0\) is

1 \(y=0\)
2 \(x=1\)
3 \(y=-1\)
4 \(x=-1\)
COMEDK-2011
Parabola

120936 The equation of the lines joining the vertex of the parabola \(y^2=6 x\) to the points on it which have abscissa 24 are

1 \(y \pm 2 x=0\)
2 \(2 \mathrm{y} \pm \mathrm{x}=0\)
3 \(x \pm y=0\)
4 \(2 x \pm 3 y=0\)
COMEDK-2014
Parabola

120938 The focus of the curve \(y^2+4 x-6 y+13=0\) is

1 \((2,3)\)
2 \((-2,3)\)
3 \((2,-3)\)
4 \((-2,-3)\)
VITEEE-2018
Parabola

120939 The locus of the mid-points of the focal chords of the parabola \(y^2=4 \mathrm{ax}\) is

1 \(y^2=a(x-a)\)
2 \(y^2=2 a(x-a)\)
3 \(y^2=4 a(x-a)\)
4 None of these
VITEEE-2011
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