Find The Length Of The Tangents Drawn From The Point (3, – 4) To The Circle 2x2 + 2y2 – 7x – 9y – 13 = 0.

Find the equation of tangent to the circle x² + y² – 2ax = 0 at the point   

Find the equation of the tangents to the circle x² + y² = 9, which  Are parallel to the line 3x + 4y – 5 = 0

Find the equation of the tangents to the circle x² + y² = 9, which

Are perpendicular to the line 2x + 3y + 7 = 0.

Find the equation of the tangents to the circle x² + y² = 9, which make an angle of 60^o with the x-axis.

Show that the line 3x – 4y = 1 touches the circle x² + y² – 2x + 4y + 1 = 0. Find the co-ordinates of the point of contact.

The line (x – 2) cos θ + (y – 2) sin θ = 1 touches a circle for all values of θ. Find the circle.

Find the equation of the normal to the circle

x² + y² – 5x + 2y – 48 = 0 at the point (5, 6).

Find the equation of the tangents to the circle x² + y² = 16 drawn from the point (1, 4).

The angle between a pair of tangents from a point P to the circle x² + y²+ 4x – 6y + 9 sin²α + 13 cos²α = 0 is 2α. Find the equation of the locus of the point P.

Find the area of the triangle formed by tangents from the point (4, 3) to the circle x² + y² = 9 and the line segment joining their points of contact is