The value of is minimum when z equals
45 + 3i
C.
Let z = x + iy
It is minimum, when x - 1 = 0 and = 0
In a , are the roots of pq(x2 + 1) = r2x. Then, is
a right angled triangle
an acute angled triangle
an obtuse angled triangle
an equilateral triangle
If are the roots of ax2 + bx + c = 0 () and are the roots of px2 + qx + r = 0 (p 0), then the ratio of the squares of their discriminants is
a2 : p2
a : p2
a2 : p
a : 2p
Suppose that z1, z2, z3 are three vertices of an equilateral triangle in the Argand plane. Let be a non-zero complex number. The points will be
the vertices of an equilateral triangle
the vertices of an isosceles triangle
collinear
the vertices of a scalene triangle
In the Argand plane, the distinct roots of 1 + z + z3 + z4 = 0 (z is a complex number) represent vertices of
a square
an equilateral triangle
a rhombus
a rectangle
Let p (x) be a quadratic polynomial with constant term 1. Suppose p(x), when divided by x - 1 leaves remainder 2 and when divided by x + 1 leaves remainder 4. Then, the sum of the roots of p(x) = 0 is
- 1
1
If z1 = 2 + 3i and z2 = 3 + 4i be two points on the complex plane. Then, the set of complex number z satisfying represnts
a straight line
a point
a circle
a pair of straight line