The equation of tangent to the circle ${x^2} + {y^2} = {a^2}$ parallel to $y = mx + c$ is
$y = mx \pm \sqrt {1 + {m^2}} $
$y = mx \pm a\sqrt {1 + {m^2}} $
$x = my \pm a\sqrt {1 + {m^2}} $
None of these
Which of the following lines is a tangent to the circle ${x^2} + {y^2} = 25$ for all values of $m$.....
The area of triangle formed by the tangent, normal drawn at $(1,\sqrt 3 )$ to the circle ${x^2} + {y^2} = 4$ and positive $x$-axis, is
The value of $c$, for which the line $y = 2x + c$ is a tangent to the circle ${x^2} + {y^2} = 16$, is
Equation of the tangent to the circle ${x^2} + {y^2} = {a^2}$ which is perpendicular to the straight line $y = mx + c$ is
The normal to the circle ${x^2} + {y^2} - 3x - 6y - 10 = 0$at the point $(-3, 4)$, is