Foci of an ellipse are at S(1,7),S'(1,-3) .The point P is on the ellipse such that SP=7,S'P=5 .then the equation of the ellipse is

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length,then find the equation of the ellipse.The axes of ellipse are the coordinate axes.

The coordinates of the foci of an ellipse are S(3,4) and S(2,-3). If P is a point on the ellipse such that PS+PS'=K, then (A)K>5(B)K>5sqrt(2)(C)K<5(D)5

The foci of an ellipse are S(3,1) and S'(11,5) The normal at P is x+2y-15=0 Then point P is

Let A(3.2) and B(4,7) are the foci of an ellipse and the line x+y-2=0 is a tangent to the ellipse,then the point of contact of this tangent with the ellipse is

Consider an ellipse with foci at (3,6) and (3,10) .If the y -axis is a tangent to the ellipse,then equation of ellipse

A circle has same centre as an ellipse and passing through foci S_(1) and S_(2) of the ellipse. The two curves cut in four points. Let P be one of the points. If the Area of /_\PS_(1)S_(2) is 24 and major axis of the ellipse is 14. If the eccentricity of the ellipse is e, then the value of 7e is equal to

The foci of an ellipse are S(-1,-1), S'(0,-2) its e=1/2, then the equation of the directrix corresponding to the focus S is

S_(1),S_(2), are foci of an ellipse of major axis of length 10 units and P is any point on the ellipse such that perimeter of triangle PS_(1)S_(2) is 15. Then eccentricity of the ellipse is: