Let S and S'' be the foci of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` whose eccentricity is i.e. P is a variable point on the ellipse. Consider the locus of the incenter of `DeltaPSS''` The maximum area of recatangle inscribed in the locus is

Let S and S' be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is e. P is a variable point on the ellipse. Consider the locus the incentre of DeltaPSS' . The locus of the incenter is a\an

Let S and S'' be the fociof the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is e. P is a variable point on the ellipse. Consider the locus the incenter of DeltaPSS'' The eccentricity of the locus of the P is

Let S and S' be the fociof the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is e. P is a variable point on the ellipse. Consider the locus the incenter of DeltaPSS' The eccentricity of the locus of the P is

Let S and S'' be the fociof the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is i.e. P is a variable point on the ellipse. Consider the locus the incenter of DeltaPSS'' The eccentricity of the locus oc the P is (a) ellipse (b) hyperbola (a) parabola (d) circle

Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with eccentricity e is

Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 . If P is a variable point on the ellipse and if Delta is the area (in sq. units) of the triangle PSS' then the maximum value of Delta is double of

Suppose S and S' are foci of the ellipse (x^(2))/(25) + (y^(2))/(16)= 1. If P is a variable point on the ellipse and if Delta is area of the triangle PSS' , then the maximum value of Delta is :

S and T are the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and B is an end of the minor axis.If STB is an equilateral triangle,the eccentricity of the ellipse is e then find value of 4e

P is a variable point on the ellipse " 9x^(2)+16y^(2)=144 " with foci S and S^(') .Then maximum area of the triangle " SS'P " is