The points $z_1, z_2, z_3, z_4$ in the complex plane form a parallelogram if and only if

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

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

Topic: JAMIA MILLIA ISLAMIA MCA 2018

3

Consider a line passing through $(1,2)$ and $(4,8)$. The gradient of this line is

Topic: JAMIA MILLIA ISLAMIA MCA 2018

4

What is the cardinality of the power set of ${0,1,2}$?

Topic: JAMIA MILLIA ISLAMIA MCA 2018

5

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

6

If $y = a\log|x| + bx^2 + x$ has extreme values at $x=-1$ and $x=-2$, then

Topic: JAMIA MILLIA ISLAMIA MCA 2018

7

If $f(x) = \max{x,,x^3}$, number of points where $f(x)$ is not differentiable are

Topic: JAMIA MILLIA ISLAMIA MCA 2018

8

Dot product of two vectors $\vec{a}$ and $\vec{b}$ is termed as

Topic: JAMIA MILLIA ISLAMIA MCA 2018

9

Constant zero solution of linear ODE is called

Topic: JAMIA MILLIA ISLAMIA MCA 2018

10

Transpose of a column matrix is

Topic: JAMIA MILLIA ISLAMIA MCA 2018

1

Linear programming model which involves funds allocation of limited investment is classified as

Topic: JAMIA MILLIA ISLAMIA MCA 2018

2

According to system of constraints, solution set graphical representation is classified as

Topic: JAMIA MILLIA ISLAMIA MCA 2018

3

Points within a set are connected by a line segment must follow the condition that points are

Topic: JAMIA MILLIA ISLAMIA MCA 2018

4

In mathematical programming, goals represented by objective functions include

Topic: JAMIA MILLIA ISLAMIA MCA 2018

5

Coordinates of midpoint of line joining two points (16, 4) and (36, 6) are

Topic: JAMIA MILLIA ISLAMIA MCA 2018

6

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

7

For individual observations, reciprocal of arithmetic mean is called

Topic: JAMIA MILLIA ISLAMIA MCA 2018

8

A.P. whose nth term is $2n - 1$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2018

9

The equation of straight line passing through (3, 2) and perpendicular to $y = x$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2018

10

Specifying a straight line, how many geometrical parameters should be known?

Topic: JAMIA MILLIA ISLAMIA MCA 2018