The points in the argand plane is given by, Z1=−3+5i Z2=−1+6i Z3=−2+8i Z4=−4+7i Calculate the value of |Z1−Z2| |Z1−Z2|=|(−3+5i)−(−1+6i)| =|−2−i| =√5 Calculate the value of |Z2−Z3| |Z2−Z3|=|(−1+6i)−(−2+8i)| =|1−2i| =√5 Calculate the value of |Z3−Z4| |Z3−Z4|=|(−2+8i)−(−4+7i)| =|2+i| =√5 Calculate the value of |Z4−Z1| |Z4−Z1|=|(−4+7i)−(−3+5i)| =|−1+2i| =√5 Calculate the value of |Z1−Z3| |Z1−Z3|=|(−3+5i)−(−2+8i)| =|−1−3i| =√10 Calculate the value of |Z2−Z4| |Z2−Z4|=|(−1+6i)−(−4+7i)| =|3−i| =√10 Since, the length of the sides same and equal and also the length of diagonals are also equal. Therefore, the points in the argand represent a square.