Let a complex number be w = 1 - 3 i . Let another complex number z be such that | z w | = 1 and arg z - arg w = π 2 . Then the area of the triangle (in sq. units) with vertices origin, z and w is equa

Question

Let a complex number be w = 1 - 3 i . Let another complex number z be such that | z w | = 1 and arg z - arg w = π 2 . Then the area of the triangle (in sq. units) with vertices origin, z and w is equal to

TestHub · Accepted Answer

w = 1 - 3 i ⇒ | w | = 2 Now, z = 1 | w | ⇒ z = 1 2 and amp z = π 2 + amp w ⇒ Area of triangle = 1 2 . OP . OQ = 1 2 · 2 · 1 2 = 1 2 Sq. units

Mathematics - Complex Number Question with Solution | TestHub

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