8, If the complex numbers 1, 22, z3 are in A.P.then they lie on(a) a c

1.	8, If the complex numbers 1, 22, z3 are in A.P.then they lie on(a) a circle(f) a parabola(b) a line(d) a hyperbola
Answer» If we consider the complex numbers z1, z2and z3to be the points corresponding to A,B and C, then Since z1, z2and z3are gievn to be in A.P., hence by definition we have, 2z2 =z1+ z3 Hence, this means z2 = (z1+ z3) / 2 This means that B is the mid point of line AC. We can say that A, B and C are collinear. This means that the points z1, z2and z3lie on a line. ∴Option (b) is correct.

8, If the complex numbers 1, 22, z3 are in A.P.then they lie on(a) a circle(f) a parabola(b) a line(d) a hyperbola

Answer»

If we consider the complex numbers z1, z2and z3to be the points corresponding to A,B and C, then

Since z1, z2and z3are gievn to be in A.P., hence by definition we have,

2z2 =z1+ z3

Hence, this means z2 = (z1+ z3) / 2

This means that B is the mid point of line AC.

We can say that A, B and C are collinear.

This means that the points z1, z2and z3lie on a line.

∴Option (b) is correct.