The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is

Of arwa 0

eqiulateral

right angled isosceles

obtuse angle isosceles

Question

The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is Of arwa 0 eqiulateral right angled isosceles obtuse angle isosceles

Sunil Raikwar · Answer

(z1-z2)/(z2-z3)= cos(-60)+sin(-60)=e -i60 taking mode on both sides Absolute value of(z1-z2/z2-z3)=1 Therefore |z1-z2|=|z2-z3| Also angle between z1-z2 & z2-z3 is 60 So given triangle is equilateral triangle. Thanks & Regards Sunil Raikwar askIITians faculty

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The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is Of arwa 0 eqiulateral right angled isosceles obtuse angle isosceles

The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is

Of arwa 0

eqiulateral

right angled isosceles

obtuse angle isosceles

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The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is Of arwa 0 eqiulateral right angled isosceles obtuse angle isosceles

The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is Of arwa 0 eqiulateral right angled isosceles obtuse angle isosceles

1 Answers

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The complex numbers z1 z2 and z3 satisfying z1- z3/z2 -z3= 1-i(root 3)/2 are vertices of a triangle which is

Of arwa 0

eqiulateral

right angled isosceles

obtuse angle isosceles