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 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 parabola y^(2)=4x from any arbitrary point P on the line x+y=1 . Then vertex of locus of midpoint of chord AB is

Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary point P on the line x+y=1 . Then vertex of locus of midpoint of chord AB is

Tangents PA and PB 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 AB is 25(x^(2)+y^(2))=9(x+y)25(x^(2)+y^(2))=3(x+y)5(x^(2)+y^(2))=3(x+y) noneofthese

Tangents are drawn to the ellipse x^(2)+2y^(2)=4 from any arbitrary point on the line x+y=4, the corresponding chord of contact will always pass through a fixed point, whose coordinates are

Tangents PA and PB are drawn to the circle (x+3)^(2)+(y-4)^(2)=1 from a variable point P on y=sin x. Find the locus of the centre of the circle circumscribing triangle PAB.

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the line 2x+y-4=0 .Prove that corresponding chords of contact pass through a fixed point and find that point.

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the line 2x+y-4=0 .Prove that corresponding chords of contact pass through a fixed point and find that point.