From the point (4,- 4) tangents are drawn to the circle x2+y2−6x+2y+5=0.Then the square of the length of chord joining the points of contact is____.

Let the tangent drawn from the point P(4,-4) to the circle meets the circle at point A and B. Then equation of the chord of the contact AB of the circle is4x−4y−3(x+4)+(y−4)+5=0or   x−3y−11=0Center of the circle is Q(3,-1) and radius r=5.Now, OQ=3+3−111+9=310So, AQ2=OA2−OQ2=5−2510=52∴ AB=2AQ=5−52=10