`S_1 and S_2` are the foci of the elipse `x^2/sin^2 alpha+y^2/cos^2 alpha=1(alpha in (0,pi/4)) and P` is the point on the ellipse, then perimeter of triangle `PS_1 S_2` 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:

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:

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:

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:

If S_1 and S_2 are the foci of the ellipse x^2/8^2 + y^2/3^2 =1 and length of perpendicular from centre to tangent drawn at a point P on the ellipse be 4, then (PS_1 - PS_2)^2 =

For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1;(0

S_(1) ,S_(2) are two foci of the ellipse x^(2) + 2y^(2) = 2 . P be any point on the ellipse The locus incentre of the triangle PSS_(1) is a conic where length of its latus rectum is _

The foci of the hyperbola (x ^(2))/( cos ^(2) alpha ) -( y ^(2))/( sin ^(2) alpha ) = 1 are

P is any point on the ellipse x^2/144+y^2/36=1 and S ans S' are foci, then the perimeter of triangle SPS' is :

Let S and S\' be the foci of the ellipse x^2/9 + y^2/4 = 1 and P and Q be points on the ellipse such that PS.PS\' is maximum and QS.QS \' is maximum. Statement 1 : PQ=4 . Statement 2 : If P is a point on an ellipse and S\' and S are its foci, then PS + PS\' is constant.