Find the locus of the points of the intersection of tangents to ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` which make an angle theta.

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is

The locus of the middle point of the portion of a tangent to the ellipse x^2/a^2+y^2/b^2=1 included between axes is

Find the locus of the vertices of equilateral triangle circumscribing the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 .

Find the eccentricity of the ellipse x^(2)/(a^(2))+y^(2)/b^(2)=1 when a=5 and b=3.

Write the equation of tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 at any point P .

Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) = 1 at (x_1y_1)

The equation of the locus of the middle point of the portion of the tangent to the ellipse x^(2)/16+y^2/9=1 included between the co-ordinate axes is the curve

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

The parametric angle alpha where -piltalphalepi of the point on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 at which the tangent drawn cuts the intercept of minimum length on the coordinates axes, is/are