All chords of contact of tangents to circle `x^(2)+y^(2)=9` drawn from points on the line 2x+3y-9=0 pass through the fixed point.then find fixed point

Prove that chord of contact of the pair of tangents to the circle x^(2)+y^(2)=1 drawn from any point on the line 2x+y=4 passes through a fixed point.Also,find the coordinates of that point.

The chord of contact of the pair of tangents to the circle x^2 + y^2 = 4 drawn from any point on the line x+2y=1 passes through the fixed point. (A) (2, 4) (B) (4, 8) (C) (2, 8) (D) (3, 2)

The chords of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the circle x^2+y^2=1 pass through a fixed point

The chords of contact of the pairs of tangents drawn from each point on the line 2x+y=4 to the parabola y^(2)=-4x pass through the point

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^(2)=-4x passes through a fixed point: (A) (-2,1)(B)(-2,-1)(C)((1)/(2),(1)/(4))(D)(-(1)/(2),-(1)/(4))

The chord of contact of the pair of tangents drawn from any point on 3x+4y=8 to the circle x^2 + y^2 = 4 passes through a fixed point. (A) (1/2, 15/8) (B) (2, 3/2) (C) (3/2, 2) (D) none of these

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

The chords of contact of the pair of tangents drawn from each point on the line 2x + y =4 to the circle x^(2) +y^(2) =1 pass through the point "___________" .

Show that all chords of the curve 3x^(2)-y^(2)-2x+4y=0, which subtend a right angle ax the origin,pass through a fixed point.Find the coordinates of the point.