S and S' are the foci and A is one vertex of `x^(2)-2y^(2)=1` then SA.S`A=

e is the eccentricity of the ellipse 4x^(2)+9y^(2)=36 and C is the centre and S is the focus and A is the vertex then CS:SA=

If S and S' are two foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and B is and end of the minor axis such that Delta BSS' is equilateral,then write the eccentricity of the ellipse.

if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ( altb ) and P(x_(1) , y_(1)) a point on it then SP+ S'P is equal to

If S and S' are two foci of ellipse 16x^(2)+25y^(2)=400 and PSQ is a focal chord such that SP=16, then find S'Q.

Let S and S' are the foci of the ellipse x=3+5 cos theta, y=-2+4sin theta . If B is one of the ends of one of the latus rectum, then the area (in sq. units) of the triangle BSS' is equal to

Let d_1a n dd_2 be the length of the perpendiculars drawn from the foci Sa n dS ' of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 to the tangent at any point P on the ellipse. Then, S P : S^(prime)P= d_1: d_2 (b) d_2: d_1 d1 2:d2 2 (d) sqrt(d_1):sqrt(d_2)

Let S and s' are two foci of the ellipse 4x^(2)+9y^(2)=36 and PSQ is a focal chord such that SP=4, then S'Q is equal to

S.A Node and A.V Node

If S and S' are two foci of the ellipse 16x^2+25y^2=400 and PSQ is a focal chord such that SP=16 then find S'Q