Let P be a variable point From P PQ and PR are tangents drawn to the parabola `y^(2)=4x` if `/_QPR` is always `45^(@)` then locus of P is

From a point P tangents are drawn to the parabola y^2=4ax . If the angle between them is (pi)/(3) then locus of P is :

Let P be a variable point.From P tangents PQ and PR are drawn to the circle x^(2)+y^(2)=b^(2) if QR always touch the parabola y^(2)=4ax then locus of P is

if P is a variable point and PQ and PRare the tangent drawn to the circle x^(2)+y^(2)=9. Let QR be always touching the circle x^(+)y^(2)=4 then locus of P is

From a variable point R on the line y = 2x + 3 tangents are drawn to the parabola y^(2)=4ax touch it at P and Q point. Find the locus of the centroid of the triangle PQR.

Let from the point P(alpha,beta) ,tangents are drawn to the parabola y^2=4x ,including the angle 45^(@) to each other. Then locus of P(alpha,beta) is

If Q1 and Q2 are the angles made by tangents to the axis of parabola y^(2)=4x from the point P. If Q_(1)+Q_(2)=45^(@) then locus of P is