Recent questions tagged parabola

Let $(x_1,y_1)$ be the point of intersection of the tangent to the parabola $y^2=4ax$ at the points $t_1$ and $t_2$ . Then $x_1=a{t_1}{t_2}$ and $y_1=a(t_1+t_2)$

asked Feb 20, 2015 by tanvirahmedodesk

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how to remember equation of tangent . can you show how did you find out Equation of tangent at $(a{t_1}^2,2a{t_1})$ is

asked Feb 19, 2015 by tanvirahmedodesk

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If the vertex of the parabola is the point $(-3,0)$ and the directrix is the line $x+5=0$,then its equation is

asked Oct 16, 2014 by sreemathi.v

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If the parabola $y^2=4ax$ passes through the point $(3,2)$,then the length of its latus rectum is

asked Oct 16, 2014 by sreemathi.v

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If the focus of a parabola is $(0,-3)$ and its directrix is $y=3$,then its equation is

asked Oct 16, 2014 by sreemathi.v

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The equation of the parabola having focus at $(-1,-2)$ and the directrix $x-2y+3=0$ is _________

asked Oct 16, 2014 by sreemathi.v

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State whether the following statement is True or False : The line $lx+my+n=0$ will touch the parabola $y^2=4ax$ if $ln=am^2$

asked Oct 15, 2014 by sreemathi.v

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Find the equation of the following parabola : Focus at $(-1,-2)$,directrix $x-2y+3=0$.

asked Oct 14, 2014 by sreemathi.v

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Find the equation of the following parabola : Vertex at $(0,4)$,focus at $(0,2)$.

asked Oct 14, 2014 by sreemathi.v

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Find the equation of the following parabola : Directrix $x=0$,focus at $(6,0)$.

asked Oct 14, 2014 by sreemathi.v

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If the line $y=mx+1$ is tangent to the parabola $y^2=4x$ then find the value of $m$.

asked Oct 10, 2014 by sreemathi.v

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If the points $(0,4)$ and $(0,2)$ are respectively the vertex and focus of a parabola,then find the equation of the parabola.

asked Oct 10, 2014 by sreemathi.v

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Find the length of the line-segment joining the vertex of the parabola $y^2=4ax$ and a point on the parabola where the line-segment makes an angle $\theta$ to the $x$-axis.

asked Oct 10, 2014 by sreemathi.v

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Find the coordinates of a point on the parabola $y^2 = 8x$ whose focal distance is 4.

asked Oct 10, 2014 by sreemathi.v

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P is a point, two tangents are drawn from it to the parabola $y^2=4x$ such that the slope of one tangent is three times the slope of the other. The locus of P is

asked Apr 10, 2014 by meena.p

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If the vertex and the focus of a parabola are $(-1,1)$ and $(2,3)$ respectively then the equation of the directrise , is

asked Apr 10, 2014 by meena.p

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The angle between the tangent drawn from the point $(1,4)$ to the parabola $y^2=4x$ is

asked Apr 10, 2014 by meena.p

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The curve disturbed parametrically by $x=t^2+t+1\;y=t^2-t+1$ represents

asked Apr 10, 2014 by meena.p

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If $x+y=k$ is the normal to $y^2=12x$ then k is

asked Apr 10, 2014 by meena.p

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If the line $x-1=0$ is the directrix of parabola $y^2-kx+8=0$ then one of the value of k is

asked Apr 10, 2014 by meena.p

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The equation of the directrise of the parabola $y^2+4y+4x+2=0$ is

asked Apr 10, 2014 by meena.p

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The angle between the tangents draw from the origin to the parabola $y^2=4a(x-a)$ is

asked Apr 10, 2014 by meena.p

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The equation of common tangent to the curves $y^2=8x$ and $xy=-1$ is

asked Apr 10, 2014 by meena.p

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The locus of the mid point of the line segment joining the focus to a moving point on parabola $y^2=4ax$ is another parabola with direction

asked Apr 9, 2014 by meena.p

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In the parabola $y^2=4ax$ , the length of the chord passing through the vertex and inclined to the x-axis at an angle $\theta$ is

asked Apr 9, 2014 by meena.p

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The normal to the parabola $y^2=8x$ at the point $(2,4)$ meets the parabola again at the point.

asked Apr 9, 2014 by meena.p

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The focus of the parabola $y^2-x-2y+2=0$ is

asked Apr 9, 2014 by meena.p

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If polar of the parabola $x^2=4ay$ is always touching the parabola $y^2=4ax$ then locus of the pole is :

asked Apr 9, 2014 by meena.p

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Equation of the parabola if its vertex and focus are $(-2,3)$ and $(1,-1)$ respectively is

asked Apr 9, 2014 by meena.p

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Line $y=mx+c$ will touch the parabola <Br> $\qquad \qquad \qquad x^2=4ay$ if,

asked Apr 9, 2014 by meena.p

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The common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is

asked Apr 9, 2014 by meena.p

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The normal at $(a,2a)$ on $y^2=4ax$ meets the curve again at $(at^2,2at)$ then the value of t is

asked Apr 9, 2014 by meena.p

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If the parabolas $Y^2= 4x$ and $x^2=32y$ intersect at $(16,8)$ at an angle $\theta$ then $\theta$ is equal to

asked Apr 9, 2014 by meena.p

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The length of a focal chord of the parabola $y^2=4ax$ making an angle $\theta$ with the axis of the parabola is

asked Apr 9, 2014 by meena.p

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The ratio in which the line segment joining the points $(4,-6)$ and $(3,1)$ is divided by the parabola $y^2=4ax$ is

asked Apr 9, 2014 by meena.p

1 answer