The equation of tangent at `P(x_(1),y_(1))` to the circle `S=0` is given by

The equation of tangent at (x_(1);y_(1))

Equation of tangent at ' (x_(-)1y_(-)1)

The equation of the paired tangents from (x_(1),y_(1)) to the circle s=0 is

The equation of chord with mid-point P(x_(1),y_(1)) to the circle S=0 is

The equation of the normal at P(x_(1),y_(1)) to the circle x^(2)+y^(2)+2gx+2fy+c=0 is

Area of triangle formed by two tangents from (x_(1),y_(1)) to the circle S=0 and chord of contact of (x_(1),y_(1)) is,(r is radius of circle)

The equation of pair of tangents drawn from an external point P(x_(1),y_(1)) to circle S=0 is