CBSE Class 11-science Answered
The chord will be hypotenuse of the right angled triangle with remaining two sides being the radius of the circle, which is 2.
The length of hypotenuse = (22+22) = 22
The length of 1/2 hypotenuse = 2
The length of perpendicular bisector, (22-2) = 2
Let the coordinates of the midpoint of the chord be (x,y).
The distance from origin, (x2+y2) = length of perpendicular bisector = 2
Squaring both sides,
x2+y2 = 2,
Hence the locus is a circle with radius 2.