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 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 length of tangents drawn from the point (3, – 4) to the circle

     2x² + 2y² – 7x – 9y – 30 = 0   

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. 

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