Equation of Parabola with Given Focus and Directrix
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Parabola

120928 The co - ordinates of a point on the parabola \(y^2\) \(=8 \mathrm{x}\) whose focal distance is 4 units are

1 \(\left(\frac{1}{2}, \pm 2\right)\)
2 \((1, \pm 2 \sqrt{2})\)
3 \((2, \pm 4)\)
4 None of these
JEEE-2010
Parabola

120929 If the focus of the parabola is at \((0,-3)\), and its directrix direction is \(y=3\), then its equation is

1 \(x^2=-12 y\)
2 \(x^2=12 y\)
3 \(y^2=-12 x\)
4 \(\mathrm{y}^2=12 \mathrm{x}\)
JEEE-2012
Parabola

120930 The line \(y=4 x+c\) touches the parabola \(y^2=4 x\) if

1 \(\mathrm{c}=0\)
2 \(c=1 / 4\)
3 \(\mathrm{c}=4\)
4 \(\mathrm{c}=2\)
JEEE-2015
Parabola

120932 The sum of the reciprocals of focal distances of a focal chord \(P Q\) of \(y^2=4 a x\) is

1 \(\frac{1}{\mathrm{a}}\)
2 a
3 \(2 \mathrm{a}\)
4 \(\frac{1}{2 \mathrm{a}}\)
Karnataka CET-2011
Parabola

120933 If the line \(2 x-1=0\) is the directrix of the parabola \(y^2-k x+6=0\) then one of the values of \(k\) is

1 -6
2 6
3 \(1 / 4\)
4 \(-1 / 4\)
BITSAT-2010
NEET DIGITAL LIBRARY
Parabola

120928 The co - ordinates of a point on the parabola \(y^2\) \(=8 \mathrm{x}\) whose focal distance is 4 units are

1 \(\left(\frac{1}{2}, \pm 2\right)\)
2 \((1, \pm 2 \sqrt{2})\)
3 \((2, \pm 4)\)
4 None of these
JEEE-2010
Parabola

120929 If the focus of the parabola is at \((0,-3)\), and its directrix direction is \(y=3\), then its equation is

1 \(x^2=-12 y\)
2 \(x^2=12 y\)
3 \(y^2=-12 x\)
4 \(\mathrm{y}^2=12 \mathrm{x}\)
JEEE-2012
Parabola

120930 The line \(y=4 x+c\) touches the parabola \(y^2=4 x\) if

1 \(\mathrm{c}=0\)
2 \(c=1 / 4\)
3 \(\mathrm{c}=4\)
4 \(\mathrm{c}=2\)
JEEE-2015
Parabola

120932 The sum of the reciprocals of focal distances of a focal chord \(P Q\) of \(y^2=4 a x\) is

1 \(\frac{1}{\mathrm{a}}\)
2 a
3 \(2 \mathrm{a}\)
4 \(\frac{1}{2 \mathrm{a}}\)
Karnataka CET-2011
Parabola

120933 If the line \(2 x-1=0\) is the directrix of the parabola \(y^2-k x+6=0\) then one of the values of \(k\) is

1 -6
2 6
3 \(1 / 4\)
4 \(-1 / 4\)
BITSAT-2010
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Parabola

120928 The co - ordinates of a point on the parabola \(y^2\) \(=8 \mathrm{x}\) whose focal distance is 4 units are

1 \(\left(\frac{1}{2}, \pm 2\right)\)
2 \((1, \pm 2 \sqrt{2})\)
3 \((2, \pm 4)\)
4 None of these
JEEE-2010
Parabola

120929 If the focus of the parabola is at \((0,-3)\), and its directrix direction is \(y=3\), then its equation is

1 \(x^2=-12 y\)
2 \(x^2=12 y\)
3 \(y^2=-12 x\)
4 \(\mathrm{y}^2=12 \mathrm{x}\)
JEEE-2012
Parabola

120930 The line \(y=4 x+c\) touches the parabola \(y^2=4 x\) if

1 \(\mathrm{c}=0\)
2 \(c=1 / 4\)
3 \(\mathrm{c}=4\)
4 \(\mathrm{c}=2\)
JEEE-2015
Parabola

120932 The sum of the reciprocals of focal distances of a focal chord \(P Q\) of \(y^2=4 a x\) is

1 \(\frac{1}{\mathrm{a}}\)
2 a
3 \(2 \mathrm{a}\)
4 \(\frac{1}{2 \mathrm{a}}\)
Karnataka CET-2011
Parabola

120933 If the line \(2 x-1=0\) is the directrix of the parabola \(y^2-k x+6=0\) then one of the values of \(k\) is

1 -6
2 6
3 \(1 / 4\)
4 \(-1 / 4\)
BITSAT-2010
For More Updates join with Us
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Parabola

120928 The co - ordinates of a point on the parabola \(y^2\) \(=8 \mathrm{x}\) whose focal distance is 4 units are

1 \(\left(\frac{1}{2}, \pm 2\right)\)
2 \((1, \pm 2 \sqrt{2})\)
3 \((2, \pm 4)\)
4 None of these
JEEE-2010
Parabola

120929 If the focus of the parabola is at \((0,-3)\), and its directrix direction is \(y=3\), then its equation is

1 \(x^2=-12 y\)
2 \(x^2=12 y\)
3 \(y^2=-12 x\)
4 \(\mathrm{y}^2=12 \mathrm{x}\)
JEEE-2012
Parabola

120930 The line \(y=4 x+c\) touches the parabola \(y^2=4 x\) if

1 \(\mathrm{c}=0\)
2 \(c=1 / 4\)
3 \(\mathrm{c}=4\)
4 \(\mathrm{c}=2\)
JEEE-2015
Parabola

120932 The sum of the reciprocals of focal distances of a focal chord \(P Q\) of \(y^2=4 a x\) is

1 \(\frac{1}{\mathrm{a}}\)
2 a
3 \(2 \mathrm{a}\)
4 \(\frac{1}{2 \mathrm{a}}\)
Karnataka CET-2011
Parabola

120933 If the line \(2 x-1=0\) is the directrix of the parabola \(y^2-k x+6=0\) then one of the values of \(k\) is

1 -6
2 6
3 \(1 / 4\)
4 \(-1 / 4\)
BITSAT-2010
NEET DIGITAL LIBRARY
Parabola

120928 The co - ordinates of a point on the parabola \(y^2\) \(=8 \mathrm{x}\) whose focal distance is 4 units are

1 \(\left(\frac{1}{2}, \pm 2\right)\)
2 \((1, \pm 2 \sqrt{2})\)
3 \((2, \pm 4)\)
4 None of these
JEEE-2010
Parabola

120929 If the focus of the parabola is at \((0,-3)\), and its directrix direction is \(y=3\), then its equation is

1 \(x^2=-12 y\)
2 \(x^2=12 y\)
3 \(y^2=-12 x\)
4 \(\mathrm{y}^2=12 \mathrm{x}\)
JEEE-2012
Parabola

120930 The line \(y=4 x+c\) touches the parabola \(y^2=4 x\) if

1 \(\mathrm{c}=0\)
2 \(c=1 / 4\)
3 \(\mathrm{c}=4\)
4 \(\mathrm{c}=2\)
JEEE-2015
Parabola

120932 The sum of the reciprocals of focal distances of a focal chord \(P Q\) of \(y^2=4 a x\) is

1 \(\frac{1}{\mathrm{a}}\)
2 a
3 \(2 \mathrm{a}\)
4 \(\frac{1}{2 \mathrm{a}}\)
Karnataka CET-2011
Parabola

120933 If the line \(2 x-1=0\) is the directrix of the parabola \(y^2-k x+6=0\) then one of the values of \(k\) is

1 -6
2 6
3 \(1 / 4\)
4 \(-1 / 4\)
BITSAT-2010