Home
Class 11
MATHS
Find the relation if z(1), z(2), z(3), z...

Find the relation if `z_(1), z_(2), z_(3), z_(4)` are the affixes of the vertices of a parallelogram taken in order.

Text Solution

Verified by Experts

The correct Answer is:
`z_(2) + z_(4)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If |z_(1)|= |z_(2)|= |z_(3)|=1 and z_(1) , z_(2), z_(3) are represented by the vertices of an equilateral triangle then which of the following is true?

If the complex numbers z_1 , z_2, z_3 and z_4 denote the vertices of a square taken in order. If z_1 = 3+4i and z_3 = 5+ 6i , then the other two vertices z_2 and z_4 are respectively a) 5+4i, 5+6i b) 5+4i, 3+6i c) 5+6i, 3+5i d) 3+6i, 5+3i

If |z_(1) + z_(2)|=|z_(1)-z_(2)| , then the difference in the amplitudes of z_(1) and z_(2) is

If the complex numbers z _(1) , z _(2) and z _(3) denote the vertices of an isosceles triangle, right angled at z _(1), then (z _(1) - z _(2)) ^(2) + (z _(1) - z _(3)) ^(2) is equal to A)0 B) (z _(2) + z _(3)) ^(2) C)2 D)3

If z_(1)=2+3i and z_(2)=3+2i , then |z_(1)+z_(2)| is equal to

If |z_(1)|= 2, |z_(2)|= 3 , then |z_(1) + z_(2) +5+12i| is less than or equal to

If z_(1) lies on the circle |z|=3 and x+iy =z_(1) + (1)/(z_(1)) then locus of z is

If z_(1) and z_(2) are complex numbers such that z_(1) ne z_(2) and |z_(1)|= |z_(2)| . If z_(1) has positive real part and z_(2) has negative imaginary part, then ((z_(1) +z_(2)))/((z_(1)-z_(2))) may be

If arg (bar(z)_(1))= "arg" (z_(2)), (z ne 0) then