Trigonometric EquationMedium
Question
Locus of |z - cosθ - icosθ|+|z - sinθ + isinθ| = √2(where θ is constant, i =√-1 and z ∈ C) is
Options
A.ellipse
B.circle
C.hyperbola
D.line segment
Solution
|z - cosθ - icosθ| + |z - sinθ + isinθ| = √2
distance AB =
= √2PA + PB = AB ⇒ P lies on segment AB.
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