Recent questions tagged ellipse

If $e$ is the eccentricity of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}\normalsize =1\;(a < b)$,then

asked Oct 17, 2014 by sreemathi.v

1 answer

The length of the latus rectum of the ellipse $3x^2+y^2=12$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the ellipse whose focus is $(1,-1)$,the directrix the line $x-y-3=0$ and eccentricity $\large\frac{1}{2}$ is

asked Oct 16, 2014 by sreemathi.v

2 answers

The equation of the ellipse having foci $(0,1),(0,-1)$ and minor axis of length $\sqrt 5$ is ____________

asked Oct 16, 2014 by sreemathi.v

1 answer

An ellipse is described by using an endless string which is passed over two pins.If the axes are 6 cm and 4 cm,the length of the string and distance between the pins are ____________

asked Oct 16, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The line $2x+3y=12$ touches the ellipse $\large\frac{x^2}{9}+\frac{y^2}{4}$$=2$ at the point $(3,2)$

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : If $P$ is a point the ellipse $\large\frac{x^2}{16}+\frac{y^2}{25}$$=1$ whose foci are $S$ and $S'$,then $PS+PS'=8$.

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the distance between the directrices of the ellipse $\large\frac{x^2}{36}+\frac{y^2}{20}$$=1$.

asked Oct 9, 2014 by sreemathi.v

1 answer

Find the equation of ellipse whose eccentricity is $\large\frac{2}{3}$ , latus rectum is 5 and the centre is (0, 0).

asked Oct 9, 2014 by sreemathi.v

1 answer

If the eccentricity of an ellipse is $\large\frac{5}{8}$ and the distance between its foci is 10, then find latus rectum of the ellipse.

asked Oct 9, 2014 by sreemathi.v

1 answer

Given the ellipse with equation $9x^2+25y^2=225$,find the eccentricity and foci.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the latus rectum of an ellipse is equal to half of minor axis,then find its eccentricity.

asked Oct 9, 2014 by sreemathi.v

1 answer

The minimum area of triangle formed by the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ coordinate axes is :

asked Apr 10, 2014 by meena.p

1 answer

The locus of the mid- points of the portion of the tangents to the ellipse intercepted between the axis is :

asked Apr 10, 2014 by meena.p

1 answer

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

The equation of the ellipse (referred to its axis as the axis of x and y respectively) which passes through the point $(-3,1)$ and had eccentricity $\sqrt {\large\frac{ 2}{5}}$

asked Apr 10, 2014 by meena.p

1 answer

The eccentric angle of a point on the ellipse $\large\frac{x^2}{6} +\frac{y^2}{2}$$=1$ Whose distance from the centre of ellipse is 2 is

asked Apr 10, 2014 by meena.p

1 answer

Find the equation of tangent to the ellipse $3x^2+4y^2=12$ which are parallel to the line $y+2x=4$

asked Apr 10, 2014 by meena.p

1 answer

Given that the furthest the earth gets from the sun is approximately 94.56 million miles, and the eccentricity of earth's orbit is approximately 0.017, what is the closest approach of the earth to the sun.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

Find the equation of an ellipse that satisfies the following conditions: Centre at $(0,0)$, major axis on y-axis and passes through $(3,2), \; (1,6)$

asked Apr 3, 2014 by balaji.thirumalai

1 answer

Find the equation of an ellipse that satisfies the following conditions: Major axis on x-axis, passes through the points $(4,3)$ and $(6.2)$

asked Apr 3, 2014 by balaji.thirumalai

1 answer

Find the equation of an ellipse that satisfies the following conditions: $b=3, c=4$, centre at origin and foci on x-axis.

asked Apr 3, 2014 by balaji.thirumalai

1 answer

Find the equation of an ellipse that satisfies the following conditions: $a = 4$ and Foci = $(\pm3,0)$

asked Apr 3, 2014 by balaji.thirumalai

1 answer

Find the equation of an ellipse that satisfies the following conditions: Length of minor axis $ = 16$ and Foci $ = (0,\pm6)$

asked Apr 3, 2014 by balaji.thirumalai

1 answer