Math miscellaneousHard
Question
If z = x - i y and
= p + iq , then
is equal to
= p + iq , then
is equal toOptions
A.1
B.-2
C.2
D.-1
Solution
z = (p + iq)3 = p(p2 - 3q2) - iq(q2 - 3p2)
⇒
= p2 - 3q2 &
= q2 - 3p2 ⇒
= - 2
⇒
= p2 - 3q2 &
= q2 - 3p2 ⇒
= - 2Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane, x + y + z = ...Number of divisors of 1024 × (225)2 × (25)7 which are of the form 3k + 1 (where k is a whole number) is equal ...The integralis equal to...If a ∈ R and the equation -3(x - [x])2 + 2 (x - [x]) + a2 = 0 (where [x] denotes the greatest integer ≤ x) h...The two lines x = ay + b, z = cy + d and x = a′y + b′, z = c′y + d′ will be perpendicular, if an...