If `P(alpha,beta)` is a point on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` with foci `Sa n dS '` and eccentricity `e ,` then prove that the area of ` S P S '` is `basqrt(a^2-alpha^2)`

If P(theta) is a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , whose foci are S and S', then SP.S'P =

If P is a point on the ellipse (x^(2))/16+(y^(2))/25=1 whose foci are S and S', then PS+PS'=8.

If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose foci are S and S' perimeter of Delta SPS' is

If P is a point on the ellipse (x^(2))/(16)+y'(20)=1, whose foci are S and S' Then PS+PS' is equal to

If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose foci are S and S' then the value of PS + PS' is

If P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose focii are S' and S and e_(1) is the eccentricity and the locus of the inceose centre of Delta PSS is an ellipse whose eccentricity is e_(2), then the value of (1+(1)/(e_(1)))e_(2)

If P is any point lying on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, whose foci are S and S'* Let /_PSS^(2)=alpha and /_PS'S=beta then