Find The Length Of Tangents Drawn From The Point (3, – 4) To The Circle      2x2 + 2y2 – 7x – 9y – 30 = 0   

Find the shortest and largest distance from the point (2, –7) to the circle 

                 x² + y² – 14x – 10y – 151 = 0   

Find the length of intercept on the S.L. 4x – 3y – 10 = 0 by the circle x²+ y² – 2x + 4y – 20 = 0.

Find the coordinates of the middle point of the chord which the circle x²+ y² + 4x – 2y – 3 = 0 cut off the line x – y + 2 = 0.   

For what values of λ will the line y = 2x + λ be a tangent to the circle x²+ y² = 5.

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

Find the equation of normal to the x² + y² = 2x which is parallel to x + 2y= 3.  

Find the equation of normal at the point (5, 6) to the circle;

x² + y² – 5x + 2y – 48 = 0   

Find the equation of tangent 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 lows of the point P.   

Find the condition that chord of contact of any external point (h, k) to the circle x² + y² = a² should subtend right angle at the centre of the circle.