Tangents are drawn to `y^2 =4ax` from a variable point P moving on `x+a=0`, then the locus of foot of perpendicular drawn from P on the chord of contact of P is

Find the locus of the foot of the perpendicular drawn from the point (7,0) to any tangent of x^(2)+y^(2)-2x+4y=0

Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary point P on the line x+y=25 . The locus of the midpoint of chord A B is

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

If tangents are drawn to y^(2)=4ax from any point P on the parabola y^(2)=a(x+b), then show that the normala drawn at their point for contact meet on a fixed line.

From a variable point p on line 2x−y-1=0 pair of tangents are drawn to parabola x^2=8y then chord of contact passes through a fixed point.

From a variable point p on line 2x−y-1=0 pair of tangents are drawn to parabola x^2=8y then chord of contact passes through a fixed point.

Tangents PA and PB are drawn to the circle x^(2)+y^(2)=8 from any arbitrary point P on the line x+y=4. The locus of mid-point of chord of contact AB is

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is

Let the tangents PQ and PR are drawn to y^(2)=4ax from any point P on the line x+4a=0 . The angle subtended by the chord of contact QR at the vertex of the parabola y^(2)=4ax is