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If a circle Passes through a point (1,0) and cut the circle `x^2+y^2 = 4` orthogonally,Then the locus of its centre is

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To find the locus of the center of a circle that passes through the point (1, 0) and cuts the circle \( x^2 + y^2 = 4 \) orthogonally, we can follow these steps: ### Step 1: Understand the given circles The first circle is given by the equation \( x^2 + y^2 = 4 \). This circle has: - Center \( C_2 = (0, 0) \) - Radius \( R_2 = 2 \) ### Step 2: Define the second circle ...
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