The roots of the equation x4 - 8x2 - 9 = 0 are
±5 and ±1
±4 and ±1
±3 and ±i
±2 and ±i
Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero root, then
pqr = r2 + p2s
prs = q2 + r2p
qrs = p2 + s2q
pqs = s2 + q2r
If |z - 3 + i | = 4, then the locus of z = x + iy is
x2 + y2 = 0
x2 + y2 - 6 = 0
x2 + y2 - 3x + y - 6 = 0
x2 + y2 - 6 x + 2 y - 6 = 0
The conjugate of the complex number is
If arg (z - a ) = π/4, where a ∈ R, then the locus of z ∈ C is a
Hyperbola
Parabola
Ellipse
Straight line
The maximum value of |z| where z satisfies the condition |z + 2/z| = 2 is
√3 - 1
√3 + 1
√3
√2 + √3
If ∝ and β be the roots of the equation (x - a) (x - b) = c, c ≠ 0, then the roots of the equation (x - ∝)(x - β) + c = 0 are
a and c
b and c
a and b
(a + b) and (b + c)
(x = 3, y = 1 )
(x = 1, y = 3 )
(x = 0 , y = 0 )
Multiplicative inverse of the non-zero complex number (x + iy) (x, y ∈ R) is
x/(x + y) - y,(x + y) i
x/(x2 + y2) - y/(x2 + y2) i
-x/(x2 + y2) + y/(x2 +y2) i
x/(x + y) + y/(x + y) i
If |z + 4| ≤ 3, then the greatest and the least value of |z + 1| are:
6, -6
6, 0
7, 2
0, -1
