Find the locus of point of intersection of tangents to the parabola `y^(2)=4ax`
(i) which are inclined at an angle `theta` to each other
(ii) which intercept constant length c on the tangent at vertex
(iii) such that area of `DeltaABR` is constant c, where A and B are points of intersection of tangents with y-axis, R is point of intersection of tangents.

Find the locus of the point of intersection of tangents in the parabola x^2=4a xdot which are inclined at an angle theta to each other. Which intercept constant length c on the tangent at the vertex. such that the area of A B R is constant c , where Aa n dB are the points of intersection of tangents with the y-axis and R is a point of intersection of tangents.

The point of intersection of the tangents to the parabola y^(2)=4ax at the points t_(1) and t_(2) is -

Obtain the locus of the point of intersection of the tangent to the circle x^2 + y^2 = a^2 which include an angle alpha .

Find the equation of the tangent to the parabola y^(2)=8x which is inclined at an angl 45^(@) with the x-axis.

Find the equation of the tangent to the parabola y^(2)=8x which is inclined at an angl 45^(@) with the x-axis.

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is (2pi)/3dot

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

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

The locus of the point of intersection of the tangents to the circle x^2+ y^2 = a^2 at points whose parametric angles differ by pi/3 .