If A(z1), B(z2), C(z3) and P(z) represent complex numbers such that , then, A, B, C lies on
a straight line
a circle
a parabola
an ellipse
If the complex numbers z, z, and origin form vertices of an equilateral triangle, then the value of z12 + z22 will be
z1z2
z1 + z2
2z1z2
z1 - z2
A.
z1z2
We know that, if z1, z2 and z3 are the vertices of an equilateral triangle, then
z12 + z22 + z32 = z1z2 + z2z3 + z3z1
Here, z3 = 0
z12 + z22 = z1z2
Three numbers form an increasing GP. If the middle term is doubled, then the new numbers are in AP. The commonratio of the GP will be
If the equations ax2 + 2cx + b = 0 and ax2 + 2bx + c = 0 have a common root, then the value of a + 4b + 4c will be
2
1
- 1
Non eof these
If one root of ax2 + bx + c = 0 is twice the other root, then
b2 = 9ac
2b2 = 9ac
2b2 = ac
b2 = ac