Pair of tangents are drawn from every point on the line $3x + 4y = 12$ on the circle $x^2 + y^2 = 4$. Their variable chord of contact always passes through a fixed point whose co-ordinates are
$\left( {\frac{4}{3}\,,\,\frac{3}{4}} \right)$
$\left( {\frac{3}{4}\,,\,\frac{3}{4}} \right)$
$(1, 1)$
$\left( {1\,,\,\frac{4}{3}} \right)$
The line $y = x + c$will intersect the circle ${x^2} + {y^2} = 1$ in two coincident points, if
The line $lx + my + n = 0$ will be a tangent to the circle ${x^2} + {y^2} = {a^2}$ if
The equation of the chord of the circle ${x^2} + {y^2} = {a^2}$ having $({x_1},{y_1})$ as its mid-point is
The point of contact of the tangent to the circle ${x^2} + {y^2} = 5$ at the point $(1, -2)$ which touches the circle ${x^2} + {y^2} - 8x + 6y + 20 = 0$, is
The equations of the tangents drawn from the origin to the circle ${x^2} + {y^2} - 2rx - 2hy + {h^2} = 0$ are