Aspire Faculty ID #15099 · Topic: JAMIA MILLIA ISLAMIA MCA 2018 · Just now
JAMIA MILLIA ISLAMIA MCA 2018

If $\omega$ is an imaginary cube root of unity, then $(1 + \omega - \omega^2)^7$ equals

Solution

$1+\omega+\omega^2=0 \Rightarrow 1+\omega-\omega^2=2\omega.$ $(2\omega)^7 = 128\omega^7 = 128\omega.$
← Previous Next →

Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2018

Nearest first
1
Consider a line passing through $(1,2)$ and $(4,8)$. The gradient of this line is
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 2
What is the cardinality of the power set of ${0,1,2}$?
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 3
If A and B are coefficients of $x^n$ in $(1+x)^{2n}$ and $(1+x)^{2n-1}$ respectively, then $\dfrac{A}{B}$ equals
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 4
If $y = a\log|x| + bx^2 + x$ has extreme values at $x=-1$ and $x=-2$, then
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 5
If $f(x) = \max{x,,x^3}$, number of points where $f(x)$ is not differentiable are
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 6
Dot product of two vectors $\vec{a}$ and $\vec{b}$ is termed as
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 7
Constant zero solution of linear ODE is called
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 8
Transpose of a column matrix is
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 9
Power set of empty set has exactly _____ subset.
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 10
The area enclosed by $3|x| + 4|y| \le 12$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2018

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2018

Ascending by ID
1
The complex numbers $\sin x + i\cos 2x$ and $\cos x - i\sin 2x$ are conjugate to each other for A. $x = n\pi$ B. $x = 0…
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 2
The points $z_1, z_2, z_3, z_4$ in the complex plane form a parallelogram if and only if
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 3
Linear programming model which involves funds allocation of limited investment is classified as
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 4
According to system of constraints, solution set graphical representation is classified as
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 5
Points within a set are connected by a line segment must follow the condition that points are
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 6
In mathematical programming, goals represented by objective functions include
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 7
Coordinates of midpoint of line joining two points (16, 4) and (36, 6) are
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 8
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 9
For individual observations, reciprocal of arithmetic mean is called
Topic: JAMIA MILLIA ISLAMIA MCA 2018
 10
A.P. whose nth term is $2n - 1$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2018
Ask Your Question or Put Your Review.

loading...