The locus of the midpoint of a chord of the circle `x^2+y^2=4` which subtends a right angle at the origins is (a) `x+y=2` (b) `x^2+y^2=1` (c)`x^2+y^2=2` (d) `x+y=1`

Explanation

To find the locus of the midpoint of a chord of the circle \(x^2 + y^2 = 4\) that subtends a right angle at the origin, we can follow these steps:

### Step 1: Understand the Circle
The equation of the circle is given as:
\[ x^2 + y^2 = 4 \]
This represents a circle centered at the origin (0, 0) with a radius of 2.
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