The locus of a point from which two tangent are drawn to `x^2-y^2=a^2` which are inclined at angle `(pi)/(4)` to each other is

Find the locus of point of intersection of tangent to the parabola y^2=4ax which are inclined at an angle theta to each other.

Find the locus of the point from which two tangents are drawn,inclined to each other at an angle theta, to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The locus of the point of intersection of the two tangents drawn to the circle x^(2)+y^(2)=a^(2) which include are angle alpha is

The points of contact of tangents to the circle x^(2)+y^(2)=25 which are inclined at an angle of 30^(@) to the x-axis are

Find the locus of the point from which the two tangents drawn to the parabola y^(2)=4ax are such that the slope of one is thrice that of the other.

Find the locus of the point P from which tangents are drawn to the parabola y^(2) = 4ax having slopes m_(1) and m_(2) such that m_(1)^(2)+m^(2)=lamda (constant) where theta_(1) and theta_(2) are the inclinations of the tangents from positive x-axis.