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Solve equation of locus?
A point P moves along the arc of a circle with centre B(3.2). The arc passes through point C(6,0) and D(t,4).
1) Find equation of locus at point P.
2) Find the values of t.
1 Answer
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- Anonymous1 decade agoFavorite Answer
Let radius be r.
BC² = r²
So r² = (6 - 3)² + (0 - 2)² = 13
Also (3 - t)² + 4 = 13
3 - t = ± 3
Either t = 0 or t = 6
Also locus of P,
(x - 3)² + (y - 2)² = 13
x² + y² - 6x - 4y = 0
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