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.

Regards,

Team,

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