If the bisector of angle `A P B ,` where `P Aa n dP B` are the tangents to the parabola `y^2=4a x ,` is equally, inclined to the coordinate axes, then the point `P` lies on the

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

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

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

The angle between tangents to the parabola y^2=4ax at the points where it intersects with teine x-y-a = 0 is (a> 0)

If the tangent at any point P to the parabola y^(2)=4ax meets the directrix at the point K , then the angle which KP subtends at its focus is-

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^2=4xdot

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of P .

The point (8,4) lies inside the parabola y^(2) = 4ax If _

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.

A P is perpendicular to P B , where A is the vertex of the parabola y^2=4x and P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of P A Bdot