Complex numbers, Mathematics

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How t determine locus of a goven point

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Show that 8 - 10 + 21= 0, If A, B and P are the points (-4, 3), (0, -2) and...

If A, B and P are the points (-4, 3), (0, -2) and (α,β) respectively and P is equidistant from A and B, show that 8α - 10β + 21= 0. Ans :   AP = PB ⇒ AP 2 = PB 2 (∝ + 4) 2

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