From a point on the line `y=x+c`, c(parameter), tangents are drawn to the hyperbola `(x^(2))/(2)-(y^(2))/(1)=1` such that chords of contact pass through a fixed point `(x_1, y_1)`. Then , `(x_1)/(y_1)` is equal to

From a point on the line x-y+2=0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

From a point on the line x-y+2-0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

From,a point on line y=x+k ,tangents are drawn to (x^(2))/(2)-(y^(2))/(1)=1 such that chords of contact pass through a fixed point (a,b) then (a)/(b)=

If from a variable point 'P' on the line 2x-y-1=0 pair of tangent's are drawn to the parabola x^(2)=8y then prove that chord of contact passes through a fixed point,also find that point.

From any point on the line (t+2)(x+y) =1, t ne -2 , tangents are drawn to the ellipse 4x^(2)+16y^(2) = 1 . It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse is

From any point on the line (t+2)(x+y) =1, t ne -2 , tangents are drawn to the ellipse 4x^(2)+16y^(2) = 1 . It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse is

From any point on the line (t+2)(x+y) =1, t ne -2 , tangents are drawn to the ellipse 4x^(2)+16y^(2) = 1 . It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse 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.

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.