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 perependicular tangent of the parabola y^(2) =4ax is

If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

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.

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2dot

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot