Standard Equation of Parabola (parametric form)
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Parabola

120077 On the parabola \(y=x^2\), the point least distance from the straight line \(y=2 x-4\) is

1 \((1,1)\)
2 \((1,0)\)
3 \((1,-1)\)
4 \((0,0)\)
JCECE-2014
Parabola

120078 Find the length of the line segment joining the vertex of the parabola \(y^2=4 \mathrm{ax}\) and point on the parabola where the line segment makes an angle ' \(\theta\) ' to the \(x\)-axis.

1 \(\frac{2 a \cos \theta}{\sin ^2 \theta}\)
2 \(\frac{4 \mathrm{a} \cos \theta}{\sin ^2 \theta}\)
3 \(\frac{4 \mathrm{a} \cos \theta}{3 \sin ^2 \theta}\)
4 None of the above
JCECE-2013
Parabola

120079 The two parabolas \(x^2=4 y\) and \(y^2=4 x\) meet in two distinct points. One of these is the origin and the other is

1 \((2,2)\)
2 \((4,-4)\)
3 \((4,4)\)
4 \((-2,2)\)
BCECE-2012
Parabola

120080 If focus of a parabola is at \((3,3)\) and its directrix is \(3 x-4 y=2\), then its latusrectum is

1 2
2 3
3 4
4 5
CG PET- 2010
NEET DIGITAL LIBRARY
Parabola

120077 On the parabola \(y=x^2\), the point least distance from the straight line \(y=2 x-4\) is

1 \((1,1)\)
2 \((1,0)\)
3 \((1,-1)\)
4 \((0,0)\)
JCECE-2014
Parabola

120078 Find the length of the line segment joining the vertex of the parabola \(y^2=4 \mathrm{ax}\) and point on the parabola where the line segment makes an angle ' \(\theta\) ' to the \(x\)-axis.

1 \(\frac{2 a \cos \theta}{\sin ^2 \theta}\)
2 \(\frac{4 \mathrm{a} \cos \theta}{\sin ^2 \theta}\)
3 \(\frac{4 \mathrm{a} \cos \theta}{3 \sin ^2 \theta}\)
4 None of the above
JCECE-2013
Parabola

120079 The two parabolas \(x^2=4 y\) and \(y^2=4 x\) meet in two distinct points. One of these is the origin and the other is

1 \((2,2)\)
2 \((4,-4)\)
3 \((4,4)\)
4 \((-2,2)\)
BCECE-2012
Parabola

120080 If focus of a parabola is at \((3,3)\) and its directrix is \(3 x-4 y=2\), then its latusrectum is

1 2
2 3
3 4
4 5
CG PET- 2010
Join With Us for More Updates
Parabola

120077 On the parabola \(y=x^2\), the point least distance from the straight line \(y=2 x-4\) is

1 \((1,1)\)
2 \((1,0)\)
3 \((1,-1)\)
4 \((0,0)\)
JCECE-2014
Parabola

120078 Find the length of the line segment joining the vertex of the parabola \(y^2=4 \mathrm{ax}\) and point on the parabola where the line segment makes an angle ' \(\theta\) ' to the \(x\)-axis.

1 \(\frac{2 a \cos \theta}{\sin ^2 \theta}\)
2 \(\frac{4 \mathrm{a} \cos \theta}{\sin ^2 \theta}\)
3 \(\frac{4 \mathrm{a} \cos \theta}{3 \sin ^2 \theta}\)
4 None of the above
JCECE-2013
Parabola

120079 The two parabolas \(x^2=4 y\) and \(y^2=4 x\) meet in two distinct points. One of these is the origin and the other is

1 \((2,2)\)
2 \((4,-4)\)
3 \((4,4)\)
4 \((-2,2)\)
BCECE-2012
Parabola

120080 If focus of a parabola is at \((3,3)\) and its directrix is \(3 x-4 y=2\), then its latusrectum is

1 2
2 3
3 4
4 5
CG PET- 2010
For More Updates join with Us
Parabola

120077 On the parabola \(y=x^2\), the point least distance from the straight line \(y=2 x-4\) is

1 \((1,1)\)
2 \((1,0)\)
3 \((1,-1)\)
4 \((0,0)\)
JCECE-2014
Parabola

120078 Find the length of the line segment joining the vertex of the parabola \(y^2=4 \mathrm{ax}\) and point on the parabola where the line segment makes an angle ' \(\theta\) ' to the \(x\)-axis.

1 \(\frac{2 a \cos \theta}{\sin ^2 \theta}\)
2 \(\frac{4 \mathrm{a} \cos \theta}{\sin ^2 \theta}\)
3 \(\frac{4 \mathrm{a} \cos \theta}{3 \sin ^2 \theta}\)
4 None of the above
JCECE-2013
Parabola

120079 The two parabolas \(x^2=4 y\) and \(y^2=4 x\) meet in two distinct points. One of these is the origin and the other is

1 \((2,2)\)
2 \((4,-4)\)
3 \((4,4)\)
4 \((-2,2)\)
BCECE-2012
Parabola

120080 If focus of a parabola is at \((3,3)\) and its directrix is \(3 x-4 y=2\), then its latusrectum is

1 2
2 3
3 4
4 5
CG PET- 2010
NEET DIGITAL LIBRARY