Find The Equation Of Circle Through Points Of Intersection Of Circle x2 + y2– 2x – 4y + 4 = 0 And The Line x + 2y = 4 Which Touches The Line x + 2y = 0.

The chord of contact of tangents drawn from a point on the circle x² +y² = a² to the circle x² + y² = b² thouchese x² + y² = e² find a, b in.

Find the middle point of the chord intercepted on line lx + my + n = 0 by the circle x² + y² = a².

Find the equation of the tangents from the point A(3, 2) to the circle x² +y² + 4x + 6y + 8 = 0.

If two tangents are drawn from a point on the circle x² + y² = 25 to the circle x² + y² = 25. Then find the angle between the tangents.

Find the equation of diameter of the circle x² + y² + 2gx + 2fy + c = 0 which corresponds o the chord ax + by + λ = 0. 

Examine if the two circle x² + y² – 2x – 4y = 0 and x² + y² – 8y – 4 = 0 touch each other externally or internally. Also the pointed contact.

Find the equation of the circle passing through (1, 1) and the point of intersection of circles.

         x² + y² + 13x – 3y = 0 and 2x² + 2y² + 4x – 7y – 25 = 0

Find the equation of circle passing through the point of intersection of the circle x² + y² – 6x + 2y + 4 = 0 and x² + y² + 2x – 4y – 6 = 0 and whose centre lies on the line y = x.

Find the equation of the circle passing through the points of intersection of the circles x² + y² – 2x – 4y – 4 = 0 and x² + y² – 10x – 12y – 40 = 0.

Find the angle between the circles. S = x² + y² – 4x + 6y + 11 = 0 and