Home
Class 12
MATHS
[" An ellipse has eccentricity "(1)/(2)"...

[" An ellipse has eccentricity "(1)/(2)" and one focus at the point "],[P((1)/(2),1)" .Its one directrix is the common tangent,nearer to "],[" the point "P," to the circle "x^(2)+y^(2)=1" and the hyperbola "],[x^(2)-y^(2)=1" .The equation of the ellipse,in the standard form,"],[" is...."(2x-1)^(2)]

Promotional Banner

Similar Questions

Explore conceptually related problems

An ellipse has eccentricity (1)/(2) and one focus at the point P ((1)/(2), 1) . Its one directrix is the common tangent nearer to the point P, to the circle x^(2)+y^(2)=1 and the hyperbola x^(2)-y^(2)=1 . The equation of the ellipse is standard form is

An ellipse has eccentricity (1)/(2) and one focus at the point P((1)/(2),1) .Its one directrix is the comionand tangent nearer to the point the P to the hyperbolaof x^(2)-y^(2)=1 and the circle x^(2)+y^(2)=1. Find the equation of the ellipse.

An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1) . Its one directrix is the comionand tangent nearer to the point the P to the hyperbolaof x^2-y^2=1 and the circle x^2+y^2=1 .Find the equation of the ellipse.

An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1) . Its one directrix is the comionand tangent nearer to the point the P to the hyperbolaof x^2-y^2=1 and the circle x^2+y^2=1 .Find the equation of the ellipse.

An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the corresponding directrix x+6=0 . The equation of the ellipse is

A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2) )/( 49) +(y^(2))/( 4) = 1 is

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (-1,1) , directrix is x - y + 3 = 0 .