Normal to the ellipse `(x^2)/(64)+(y^2)/(49)=1` intersects the major and minor axes at `Pa n dQ` , respectively. Find the locus of the point dividing segment `P Q` in the ratio 2:1.

The ellipse (x^(2))/(25)+(y^(2))/(16)=1 with the major and minor axis in M and m respectively is

A tangent having slope of -(4)/(3) to the ellipse (x^(2))/(18)+(y^(2))/(32)=1 intersects the major and minor axes at points A and B, respectively.If C is the center of the ellipse,then find area of triangle ABC.

If the normal at a point P on the ellipse (x^(2))/(144)+(y^(2))/(16)=1 cuts major and minor axes at Q and R respectively.Then PR:PQ is equal to

P is any point on the auxililary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and Q is its corresponding point on the ellipse. Find the locus of the point which divides PQ in the ratio of 1:2 .

tangent drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at point 'P' meets the coordinate axes at points A and B respectively.Locus of mid-point of segment AB is

For the ellipse 4(x-2y+1)^(2)+9(2x+y+2)^(2)=180 lengths of major and minor axes are respectively

If normal at any poin P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtbgt0) meets the major and minor axes at Q and R, respectively, so that 3PQ=2PR, then find the eccentricity of ellipse

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct point P and Q. then the locus of the mid- point of PQ is