the set of complex numbers z satisfying the equation (3+7i)z + (10-2i)conjugate(z) + 100=0 represents in the complex plain 1. a straight line 2. a pair of intersecting straight line 3. a pair of distinct straight line
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Originally Posted by biplab the set of complex numbers z satisfying the equation (3+7i)z + (10-2i)conjugate(z) + 100=0 represents in the complex plain 1. a straight line 2. a pair of intersecting straight line 3. a pair of distinct straight line Let z = x + iy Then $\displaystyle (3+7i)(x + iy) + (10-2i)(x - iy) + 100=0$ That will give you (presumably) two equations in x and y. Solve each for y and see what it gives you. -Dan
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