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in Vector algebra by (20 points)
\( A, B, C \) are fixed points and \( P \) is a variable point. Resultant of forces \( \overline{P A} \) and \( \overline{P B} \) always passes through \( C \). The locus of point \( P \) is : (a) A circle centred at mid-point of \( A B \) (b) A straight line bisecting the angle \( \angle B C A \) (c) A straight line through \( C \) bisecting \( A B \) (d) None of the above

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