1.

Let z be a complex number such that |z + 2| + |z – 3| = 5. Then the locus of z is :(A) and ellipse (B) a straight line segment(C) a circle (D) a hyperbola

Answer»

Correct option: (B) a straight line segment

Explanation:

A(–2), B(3), P(z)

|z + 2| + |z – 3| = 5 => PA + PB = AB 

=> locus is line segment AB



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