If `y = 3x + c` is a tangent ot the circle `x^(2) + y^(2) - 2x - 4y - 5 = 0` then corrdinates of points of contact are

If y= 3x+c is a tangent to the circle x^2+y^2-2x-4y-5=0 , then c is equal to :

The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 at distinct points if

Show that the tangent at (-1, 2) of the circle x^(2) + y^(2) - 4x -8y + 7 = 0 touches the circle x^(2) + y^(2) + 4x + 6y = 0 and also find its point of contact.

The line 4y - 3x + lambda =0 touches the circle x^2 + y^2 - 4x - 8y - 5 = 0 then lambda=

If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a value of c is

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 and find the point of contact

If the points A(2, 5) and B are symmetrical about the tangent to the circle x^(2)+y^(2)-4x+4y=0 at the origin, then the coordinates of B, are

Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – 4y + 16 = 0 then square of length of chord of contact is

Show that the circles x^(2) +y^(2) - 2x - 4y - 20 = 0 and x^(2) + y^(2) + 6x +2y- 90=0 touch each other . Find the coordinates of the point of contact and the equation of the common tangent .