Recent questions tagged coordinate-geometry-conic-sections

Equation of the director circle of the ellipse $x^2+2y^2+2x-12y+15=0$ is

asked Apr 10, 2014 by meena.p

1 answer

If $3x+2y=0$ and $5x-12y=0$ are the equation of the pour of conjugates diameters, then value of eccentricity e is

asked Apr 10, 2014 by meena.p

1 answer

The locus of the mid -point of the portion of the tangents to the ellipse intercepted between the axes is

asked Apr 10, 2014 by meena.p

1 answer

Tangent is drawn to the ellipse $\large\frac{x^2}{27} $$+y^2=1$ at $(3 \sqrt 3 \cos \theta, \sin \theta)$ (where $\theta \in (0, \large\frac{\pi}{2} )$) Then the value of $\theta$ such that sum of intercepts on axis made by this tangent is minimum is

asked Apr 10, 2014 by meena.p

1 answer

The eccentricity of an ellipse , with its centre at origin is $\large\frac{1}{2}$, If one of the directrices is $x=4$ then the equation of the ellipse is

asked Apr 10, 2014 by meena.p

1 answer

The lengths of the axes of the conic $9x^2+4y^2-6x+4y+1=0$ are

asked Apr 10, 2014 by meena.p

1 answer

Length of latus rectum is one third of major axis:

asked Apr 10, 2014 by meena.p

1 answer

If the polar of $y^2=4ax$ is always touching the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then locus of the pole is :

asked Apr 10, 2014 by meena.p

1 answer

If $y=mx+c$ is a tangent to the ellipse $x^2+2y^2=6$ then $c^2$ is equal to

asked Apr 10, 2014 by meena.p

1 answer

The number of normal that can be drawn from a point to a given ellipse is

asked Apr 10, 2014 by meena.p

1 answer

The line $x \cos \alpha + y \sin \alpha =p$ is a tangent to the ellipse. $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ if

asked Apr 10, 2014 by meena.p

1 answer

Equation of tangent of circle whose centre is (0,0) at a point (2,2) which lie on circle?

asked Feb 11, 2014 by sreemathi.v

1 answer

Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus is 10?

asked Feb 7, 2014 by sreemathi.v

2 answers

Find the length of major and minor axes of the ellipse $3x^2+2y^2=6$?Also find its eccentricity?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of an ellipse whose focus is $(-1,1)$ eccentricity is $\large\frac{1}{2}$ and the directix is $x-y+3=0?$

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the position of the point (4,-3) relative to the ellipse $5x^2+7y^2=140$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the parametric form of normal for the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of normal for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of tangent for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the parametric form of tangent for the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=$$1$

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the coordinate of double ordinate for the ellipse $\large\frac{x^2}{a^2}+\large\frac{y^2}{b^2}$$=1$

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the vertex and focus of the parabola $\large\frac{x^2}{64}+\frac{y^2}{100}$=1.

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the position of the point (1,1) relative to the ellipse $\large\frac{x^2}{64}+\frac{y^2}{100}$=1.

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the eccentricity of ellipse $\large\frac{x^2}{64}+\frac{y^2}{100}=1$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Name the axes are their in the ellipse

asked Feb 6, 2014 by sreemathi.v

1 answer