Two fixed points A and B and a variable point P represent the complex numbers z,...

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Two fixed points A and B and a variable point P represent the complex numbers z, 22, and z respectively. Find the locus of P if 2-21 = 3. z-22 (b) If z is an arbitrary complex number, where does it lie in the Argand diagram under the con- straint? (i) |z-1-i | <5 (ii) |z+5i >4 (iii) | 2+1+i | = | 2-3-5i | (iv) 2+2-i z +5+4i = 5. Two fixed points A and B and a variable point P represent the complex numbers z, 22, and z respectively. Find the locus of P if 2-21 = 3. z-22 (b) If z is an arbitrary complex number, where does it lie in the Argand diagram under the con- straint? (i) |z-1-i | <5 (ii) |z+5i >4 (iii) | 2+1+i | = | 2-3-5i | (iv) 2+2-i z +5+4i = 5.

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