Tangents are drawn to `x^2+y^2=1` from any arbitrary point `P` on the line `2x+y-4=0` . The corresponding chord of contact passes through a fixed point whose coordinates are(a) `(1/2,1/2)` (b) `(1/2,1)`(c) `(1/2,1/4)` (d) `(1,1/2)`

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 from the points on the line x−y−5=0 to x^2+4y^2=4 , then all the chords of contact pass through a fixed point, whose coordinate are

Tangents are drawn from the points on the line x-y-5=0 to x^2+4y^2=4 . Then all the chords of contact pass through a fixed point. Find the coordinates.

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

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.

Consider the relation 4l^(2)-5m^(2)+6l+1=0 , where l,m in R Tangents PA and PB are drawn to the above fixed circle from the points P on the line x+y-1=0 . Then the chord of contact AP passes through the fixed point. (a) ( 1 / 2 , − 5 / 2 ) (b) ( 1 3 , 4 / 3 ) (c) ( − 1 / 2 , 3 / 2 ) (d) none of these

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

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)