If the length tangent drawn from the point (5, 3) to the circle `x^2+y^2+2x+k y+17=0` is 7, then find the value of `kdot`

The length of the tangent drawn from the point (2,3) to the circle 2(x^(2)+y^(2))-7x+9y-11=0

Find the length of a tangent drawn from the point (3,4) to the circle x ^(2) + y ^(2) - 4x + 6y -3=0.

The length of the tangent drawn from the point (2, 3) to the circles 2(x^(2) + y^(2)) – 7x + 9y – 11 = 0 .

Tangents drawn from the point (4, 3) to the circle x^(2)+y^(2)-2x-4y=0 are inclined at an angle

Find the length of the tangents drawn from the point (3,-4) to the circle 2x^(2)+2y^(2)-7x-9y-13=0 .

If the pair of tangents are drawn from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 , then (i) Find the length of chord of contact. (ii) Find the area of the triangle fromed by a pair of tangents and their chord of contact. (iii) Find the angle between the pair of tangents.