Find the coordinates of the point P on the line x+y=-13, nearest to the circle `x^2 +y^2+ 4x +6y -5=0.`

Find the co-ordinates of point on line x+y=-13, nearest to the circle x^(2)+y^(2)+4x+6y-5=0

Find the coordinates of the middle point of the chord which the circle x^2 + y^2 + 4x - 2y-3=0 cuts off on the line y=x+2 .

Find the polar of the point (-2,3) with respect to the circle x^2+y^2−4x−6y+5=0

Find the coordinates of the middle point of the chord which the circle x^2 +y^2 + 4x-2y-3=0 cuts off on the line x-y+2=0

Find the coordinates of the middle point of the chord which the circle x^2 +y^2 + 4x-2y-3=0 cuts off on the line x-y+2=0

Find the point of contact of the tangent x+y-7=0 to the circle x^2+y^2-4x-6y+11=0