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Position of a Point W.R.T Ellipse

An ellipse ha...

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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 x2 + y2 = 1 and the hyperbola x2 - y2 = 1. The equation of the ellipse, in the standard form is .

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Q. 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

. Find the equation of the ellipse in standard form.

Q. An ellipse has eccentricity

\frac{1}{2}

and one focus at the point

P (\frac{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

Q. An ellipse has eccentricity

\frac{1}{2}

and one focus at the point

P (\frac{1}{2}, 1)

. Its one directrix is the common tangent at 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:

Q. An ellipse has eccentricity

\frac{1}{2}

and one focus is at point

P (\frac{1}{2}, 1)

. A common tangent to the circle

x^{2} + y^{2} = 1

x^{2} - y^{2} = 1

which is nearer to point

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is directrix of ellipse. Then co-ordinates of centre of ellipse are

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and a focus at the point

P (\frac{1}{2}, 1)

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and the hyperbola

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