For the ellipse `x^2/9+y^2/4=1`. Let O be the centre and S and S' be the foci. For any point P on the ellipse the value of `(PS.PS'd^2)/9` (where d is the distance of O from the tangent at P) is equal to

Let S and S^(1) be the foci of an ellipse . At any point P on the ellipse if SPS^(1) lt 90 ^(@) then its eccentricity :

If S and S' are the foci of x^2/16+y^2/25=1 , then show that PS+PS'=10, where P is any point on the ellipse.

If P is any point on the ellipse x^(2)/36 +y^(2)/16=1 and S and S', are the foci, then PS+PS'equal to

If P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 , S and S ’ are the foci of the ellipse then find SP + S^1P

If two points are taken on the mirror axis of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 at the same distance from the centre as the foci, then the sum of the sequares of the perpendicular distance from these points on any tangent to the ellipse is

The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 are

If P is any point on the ellipse (x^(2))/(36) + (y^(2))/(16) = 1 , and S and S' are the foci, then PS + PS' =

P is a variable point on the ellipse with foci S_(1) and S_(2). If A is the area of the triangle PS_(1)S_(2), the maximum value of A is

P is a variable point on the ellipse with foci S_1 and S_2 . If A is the area of the the triangle PS_1S_2 , the maximum value of A is

Let P be any point on a directrix of an ellipse of eccentricity e,S be the corresponding focus and C be the centre of the ellipse.The line PC meets the ellipse at A.The angle between PS and tangent at A is alpha. Then alpha is equal to