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WBJEE2022MathematicsComplex NumberActual

The side A B of A B C is fixed and is of length 2 a unit. The vertex moves in the plane such that the vertical angle is always constant and is . Let x -axis be along A B and the origin be at A . Then the locus of the vertex is

Correct answer

1

Step-by-step solution

Let, c=z=x+i y aligned & ( 2 a - z 0- z )= & ( ( x -2 a )+ iy x + iy )= & x ^2+ y ^2-2 ax -2 ay =0 aligned

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