Find The Middle Point Of The Chord Intercepted On Line lx + my + n = 0 By The Circle x2 + y2 = a2.

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. 

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