Equation of Parabola with Given Focus and Directrix
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Parabola

120957 The locus of the vertices of the family of parabolas \(6 y=2 a^3 x^2+3 a^2 x-12 a\) is

1 \(x y=\frac{105}{64}\)
2 \(x y=\frac{64}{105}\)
3 \(x y=\frac{35}{16}\)
4 \(x y=\frac{16}{35}\)
WB JEE-2021
Parabola

120958 The equation of directrix of the parabola \(y^2+4 y+4 x+2=0\) is

1 \(x=-1\)
2 \(x=1\)
3 \(x=-\frac{3}{2}\)
4 \(x=\frac{3}{2}\)
Manipal UGET-2012]
Parabola

120959 A parabola \(\mathrm{y}^2=32 \mathrm{x}\) is drawn. From its focus, a line of slope 1 is drawn. The equation of the line is

1 \(y=x+8\)
2 \(y=x-4\)
3 \(y=x\)
4 \(y=x-8\)
J and K CET-2018
Parabola

120961 If \(a \neq 0\) and the line \(2 b x+3 c y+4 d=0\) passes through the points of intersection of the parabolas \(y^2=4\) ax and \(x^2=4 a y\), then

1 \(d^2+(2 b-3 c)^2=0\)
2 \(d^2+(3 b-2 c)^2=0\)
3 \(d^2+(2 b+3 c)^2=0\)
4 \(\mathrm{d}^2+(3 \mathrm{~b}+2 \mathrm{c})^2=0\)
J and K CET-2014
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Parabola

120957 The locus of the vertices of the family of parabolas \(6 y=2 a^3 x^2+3 a^2 x-12 a\) is

1 \(x y=\frac{105}{64}\)
2 \(x y=\frac{64}{105}\)
3 \(x y=\frac{35}{16}\)
4 \(x y=\frac{16}{35}\)
WB JEE-2021
Parabola

120958 The equation of directrix of the parabola \(y^2+4 y+4 x+2=0\) is

1 \(x=-1\)
2 \(x=1\)
3 \(x=-\frac{3}{2}\)
4 \(x=\frac{3}{2}\)
Manipal UGET-2012]
Parabola

120959 A parabola \(\mathrm{y}^2=32 \mathrm{x}\) is drawn. From its focus, a line of slope 1 is drawn. The equation of the line is

1 \(y=x+8\)
2 \(y=x-4\)
3 \(y=x\)
4 \(y=x-8\)
J and K CET-2018
Parabola

120961 If \(a \neq 0\) and the line \(2 b x+3 c y+4 d=0\) passes through the points of intersection of the parabolas \(y^2=4\) ax and \(x^2=4 a y\), then

1 \(d^2+(2 b-3 c)^2=0\)
2 \(d^2+(3 b-2 c)^2=0\)
3 \(d^2+(2 b+3 c)^2=0\)
4 \(\mathrm{d}^2+(3 \mathrm{~b}+2 \mathrm{c})^2=0\)
J and K CET-2014
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Parabola

120957 The locus of the vertices of the family of parabolas \(6 y=2 a^3 x^2+3 a^2 x-12 a\) is

1 \(x y=\frac{105}{64}\)
2 \(x y=\frac{64}{105}\)
3 \(x y=\frac{35}{16}\)
4 \(x y=\frac{16}{35}\)
WB JEE-2021
Parabola

120958 The equation of directrix of the parabola \(y^2+4 y+4 x+2=0\) is

1 \(x=-1\)
2 \(x=1\)
3 \(x=-\frac{3}{2}\)
4 \(x=\frac{3}{2}\)
Manipal UGET-2012]
Parabola

120959 A parabola \(\mathrm{y}^2=32 \mathrm{x}\) is drawn. From its focus, a line of slope 1 is drawn. The equation of the line is

1 \(y=x+8\)
2 \(y=x-4\)
3 \(y=x\)
4 \(y=x-8\)
J and K CET-2018
Parabola

120961 If \(a \neq 0\) and the line \(2 b x+3 c y+4 d=0\) passes through the points of intersection of the parabolas \(y^2=4\) ax and \(x^2=4 a y\), then

1 \(d^2+(2 b-3 c)^2=0\)
2 \(d^2+(3 b-2 c)^2=0\)
3 \(d^2+(2 b+3 c)^2=0\)
4 \(\mathrm{d}^2+(3 \mathrm{~b}+2 \mathrm{c})^2=0\)
J and K CET-2014
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Parabola

120957 The locus of the vertices of the family of parabolas \(6 y=2 a^3 x^2+3 a^2 x-12 a\) is

1 \(x y=\frac{105}{64}\)
2 \(x y=\frac{64}{105}\)
3 \(x y=\frac{35}{16}\)
4 \(x y=\frac{16}{35}\)
WB JEE-2021
Parabola

120958 The equation of directrix of the parabola \(y^2+4 y+4 x+2=0\) is

1 \(x=-1\)
2 \(x=1\)
3 \(x=-\frac{3}{2}\)
4 \(x=\frac{3}{2}\)
Manipal UGET-2012]
Parabola

120959 A parabola \(\mathrm{y}^2=32 \mathrm{x}\) is drawn. From its focus, a line of slope 1 is drawn. The equation of the line is

1 \(y=x+8\)
2 \(y=x-4\)
3 \(y=x\)
4 \(y=x-8\)
J and K CET-2018
Parabola

120961 If \(a \neq 0\) and the line \(2 b x+3 c y+4 d=0\) passes through the points of intersection of the parabolas \(y^2=4\) ax and \(x^2=4 a y\), then

1 \(d^2+(2 b-3 c)^2=0\)
2 \(d^2+(3 b-2 c)^2=0\)
3 \(d^2+(2 b+3 c)^2=0\)
4 \(\mathrm{d}^2+(3 \mathrm{~b}+2 \mathrm{c})^2=0\)
J and K CET-2014
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here